Question
Solve the equation. Check your solution.
4x + 6x - 7 = 33
4x + 6x - 7 = 33
Answers
Answer
Solve the equation. Check your answer.
21=8x+3-6x
21=8x+3-6x
Answer
Solve the equation.
6(5x2)=48
6(5x2)=48
Answer
Question content area top
Part 1
Solve the equation. Check your answer.
-4(r+9)=-58
Part 1
Solve the equation. Check your answer.
-4(r+9)=-58
Answer
Solve the equation. Choose the method you prefer to use. Check your answer.
b/17 3b/17 10/17
b/17 3b/17 10/17
Answer
nope
Answer
no its not
Answer
TRY A DIFFERENT ANSWER
Answer
it was -5
Answered by
GPT 3.5
To solve the equation 4x + 6x - 7 = 33, we need to combine like terms first.
Combining the x terms, we have:
10x - 7 = 33
Next, we can isolate the x term by adding 7 to both sides of the equation:
10x = 40
To solve for x, we can divide both sides by 10:
x = 4
To check our solution, we can substitute x = 4 back into the original equation:
4(4) + 6(4) - 7 = 33
16 + 24 - 7 = 33
40 - 7 = 33
33 = 33
Since the equation is true when x = 4, our solution is correct.
Combining the x terms, we have:
10x - 7 = 33
Next, we can isolate the x term by adding 7 to both sides of the equation:
10x = 40
To solve for x, we can divide both sides by 10:
x = 4
To check our solution, we can substitute x = 4 back into the original equation:
4(4) + 6(4) - 7 = 33
16 + 24 - 7 = 33
40 - 7 = 33
33 = 33
Since the equation is true when x = 4, our solution is correct.
Answered by
GPT 3.5
To solve the equation 21 = 8x + 3 - 6x, we need to combine like terms first.
Combining the x terms, we have:
21 = 2x + 3
Next, we can isolate the x term by subtracting 3 from both sides of the equation:
21 - 3 = 2x
Simplifying,
18 = 2x
To solve for x, we can divide both sides by 2:
9 = x
To check our solution, we can substitute x = 9 back into the original equation:
21 = 8(9) + 3 - 6(9)
21 = 72 + 3 - 54
21 = 75 - 54
21 = 21
Since the equation is true when x = 9, our solution is correct.
Combining the x terms, we have:
21 = 2x + 3
Next, we can isolate the x term by subtracting 3 from both sides of the equation:
21 - 3 = 2x
Simplifying,
18 = 2x
To solve for x, we can divide both sides by 2:
9 = x
To check our solution, we can substitute x = 9 back into the original equation:
21 = 8(9) + 3 - 6(9)
21 = 72 + 3 - 54
21 = 75 - 54
21 = 21
Since the equation is true when x = 9, our solution is correct.
Answered by
GPT 3.5
To solve the equation 6(5x^2) = 48, we need to divide both sides of the equation by 6 to isolate (5x^2).
(6/6)(5x^2) = 48/6
Simplifying, we have:
5x^2 = 8
Next, we divide both sides of the equation by 5 to solve for x^2:
(1/5)(5x^2) = (1/5)(8)
x^2 = 8/5
The equation x^2 = 8/5 represents two possible solutions for x. We need to find the square root of both sides:
√(x^2) = ±√(8/5)
x = ±√(8/5)
Simplifying the square root, we have:
x = ±(√8)/(√5)
Since the square root of 8 can be further simplified, we can rewrite the solution as:
x = ±(2√2)/(√5)
Thus, the two solutions for x are:
x = (2√2)/(√5) and x = -(2√2)/(√5)
(6/6)(5x^2) = 48/6
Simplifying, we have:
5x^2 = 8
Next, we divide both sides of the equation by 5 to solve for x^2:
(1/5)(5x^2) = (1/5)(8)
x^2 = 8/5
The equation x^2 = 8/5 represents two possible solutions for x. We need to find the square root of both sides:
√(x^2) = ±√(8/5)
x = ±√(8/5)
Simplifying the square root, we have:
x = ±(√8)/(√5)
Since the square root of 8 can be further simplified, we can rewrite the solution as:
x = ±(2√2)/(√5)
Thus, the two solutions for x are:
x = (2√2)/(√5) and x = -(2√2)/(√5)
Answered by
GPT 3.5
To solve the equation -4(r + 9) = -58, we will begin by distributing -4 to the terms inside the parentheses:
-4r - 36 = -58
Next, we can isolate the variable term by adding 36 to both sides of the equation:
-4r = -58 + 36
-4r = -22
To solve for r, we will divide both sides of the equation by -4:
r = -22 / -4
r = 5.5
To check our answer, we substitute r = 5.5 back into the original equation:
-4(5.5 + 9) = -58
-4(14.5) = -58
-58 = -58
The equation is true when r = 5.5, so our solution is correct.
-4r - 36 = -58
Next, we can isolate the variable term by adding 36 to both sides of the equation:
-4r = -58 + 36
-4r = -22
To solve for r, we will divide both sides of the equation by -4:
r = -22 / -4
r = 5.5
To check our answer, we substitute r = 5.5 back into the original equation:
-4(5.5 + 9) = -58
-4(14.5) = -58
-58 = -58
The equation is true when r = 5.5, so our solution is correct.
Answered by
GPT 3.5
To solve the equation b/17 + 3b/17 = 10/17, we need to combine the like terms on the left side of the equation.
The equation can be simplified to:
(1b + 3b)/17 = 10/17
Combining like terms, we have:
4b/17 = 10/17
To isolate the variable term b, we will multiply both sides of the equation by 17:
17 * (4b/17) = 17 * (10/17)
The 17s on the left side cancel out, leaving us with:
4b = 10
To solve for b, we divide both sides of the equation by 4:
b = 10 / 4
b = 2.5
To check our answer, we substitute b = 2.5 back into the original equation:
(2.5/17) + (3 * 2.5/17) = 10/17
Simplifying the equation, we have:
(2.5 + 7.5)/17 = 10/17
10/17 = 10/17
Since the equation is true when b = 2.5, our solution is correct.
The equation can be simplified to:
(1b + 3b)/17 = 10/17
Combining like terms, we have:
4b/17 = 10/17
To isolate the variable term b, we will multiply both sides of the equation by 17:
17 * (4b/17) = 17 * (10/17)
The 17s on the left side cancel out, leaving us with:
4b = 10
To solve for b, we divide both sides of the equation by 4:
b = 10 / 4
b = 2.5
To check our answer, we substitute b = 2.5 back into the original equation:
(2.5/17) + (3 * 2.5/17) = 10/17
Simplifying the equation, we have:
(2.5 + 7.5)/17 = 10/17
10/17 = 10/17
Since the equation is true when b = 2.5, our solution is correct.
Answered by
GPT 3.5
Apologies for the incorrect solution. Let's solve the equation again:
b/17 + 3b/17 = 10/17
To combine the fractions on the left side, we can add the numerators:
(b + 3b)/17 = 10/17
Simplifying the equation, we have:
4b/17 = 10/17
To isolate the variable term b, we notice that the denominators on both sides are the same (17). Since they are equal, we can set the numerators equal to each other:
4b = 10
Next, we divide both sides of the equation by 4 to solve for b:
b = 10/4
b = 2.5
To check our answer, we substitute b = 2.5 back into the original equation:
(2.5/17) + (3 * 2.5/17) = 10/17
Simplifying the equation, we have:
(2.5 + 7.5)/17 = 10/17
10/17 = 10/17
Since the equation is true when b = 2.5, our solution is correct.
b/17 + 3b/17 = 10/17
To combine the fractions on the left side, we can add the numerators:
(b + 3b)/17 = 10/17
Simplifying the equation, we have:
4b/17 = 10/17
To isolate the variable term b, we notice that the denominators on both sides are the same (17). Since they are equal, we can set the numerators equal to each other:
4b = 10
Next, we divide both sides of the equation by 4 to solve for b:
b = 10/4
b = 2.5
To check our answer, we substitute b = 2.5 back into the original equation:
(2.5/17) + (3 * 2.5/17) = 10/17
Simplifying the equation, we have:
(2.5 + 7.5)/17 = 10/17
10/17 = 10/17
Since the equation is true when b = 2.5, our solution is correct.
Answered by
GPT 3.5
Apologies for the confusion. Let's solve the equation again:
b/17 + 3b/17 = 10/17
To combine the fractions on the left side, we can add them together:
(b + 3b)/17 = 10/17
Simplifying the equation, we have:
4b/17 = 10/17
To isolate the variable term b, we can multiply both sides of the equation by 17:
17 * (4b/17) = 17 * (10/17)
The 17s on the left side cancel out, leaving us with:
4b = 10
To solve for b, we divide both sides of the equation by 4:
b = 10 / 4
b = 2.5
To check the answer, we substitute b = 2.5 back into the original equation:
(2.5/17) + (3 * 2.5/17) = 10/17
Simplifying the equation, we have:
(2.5 + 7.5)/17 = 10/17
10/17 = 10/17
Since the equation is true when b = 2.5, our solution is correct.
b/17 + 3b/17 = 10/17
To combine the fractions on the left side, we can add them together:
(b + 3b)/17 = 10/17
Simplifying the equation, we have:
4b/17 = 10/17
To isolate the variable term b, we can multiply both sides of the equation by 17:
17 * (4b/17) = 17 * (10/17)
The 17s on the left side cancel out, leaving us with:
4b = 10
To solve for b, we divide both sides of the equation by 4:
b = 10 / 4
b = 2.5
To check the answer, we substitute b = 2.5 back into the original equation:
(2.5/17) + (3 * 2.5/17) = 10/17
Simplifying the equation, we have:
(2.5 + 7.5)/17 = 10/17
10/17 = 10/17
Since the equation is true when b = 2.5, our solution is correct.
Answered by
GPT 3.5
Apologies for the confusion earlier. Let's solve the equation once again:
b/17 + 3b/17 = 10/17
To combine the fractions on the left side, we can add them together:
(b + 3b)/17 = 10/17
Simplifying the equation, we have:
4b/17 = 10/17
To isolate the variable term b, we can multiply both sides of the equation by 17:
17 * (4b/17) = 17 * (10/17)
The 17s on the left side cancel out, leaving us with:
4b = 10
To solve for b, we divide both sides of the equation by 4:
b = 10/4
b = 2.5
However, it seems that this solution is not correct based on your response. Please let me know if there is any specific issue with the previous steps, or if I made any assumptions that might be incorrect.
b/17 + 3b/17 = 10/17
To combine the fractions on the left side, we can add them together:
(b + 3b)/17 = 10/17
Simplifying the equation, we have:
4b/17 = 10/17
To isolate the variable term b, we can multiply both sides of the equation by 17:
17 * (4b/17) = 17 * (10/17)
The 17s on the left side cancel out, leaving us with:
4b = 10
To solve for b, we divide both sides of the equation by 4:
b = 10/4
b = 2.5
However, it seems that this solution is not correct based on your response. Please let me know if there is any specific issue with the previous steps, or if I made any assumptions that might be incorrect.
Answered by
GPT 3.5
Apologies for the confusion earlier. Let's solve the equation again:
b/17 + 3b/17 = 10/17
To combine the fractions on the left side, we can add them together:
(b + 3b)/17 = 10/17
Simplifying the equation, we have:
4b/17 = 10/17
To isolate the variable term b, we can multiply both sides of the equation by 17:
17 * (4b/17) = 17 * (10/17)
The 17s on the left side cancel out, leaving us with:
4b = 10
To solve for b, we divide both sides of the equation by 4:
b = 10/4
b = 2.5
However, based on your response, it seems that the solution might be different. Let's try a different approach to find the correct solution.
b/17 + 3b/17 = 10/17
Combining the fractions on the left side, we have:
(4b)/17 = 10/17
To isolate the variable term b, we can multiply both sides of the equation by 17:
17 * [(4b)/17] = 17 * (10/17)
The 17s on the left side cancel out, leaving us with:
4b = 10
Now, let's solve for b by dividing both sides of the equation by 4:
b = 10/4
b = 2.5
It seems that we end up with the same solution as before. If this answer is incorrect, please let me know or provide any additional information.
b/17 + 3b/17 = 10/17
To combine the fractions on the left side, we can add them together:
(b + 3b)/17 = 10/17
Simplifying the equation, we have:
4b/17 = 10/17
To isolate the variable term b, we can multiply both sides of the equation by 17:
17 * (4b/17) = 17 * (10/17)
The 17s on the left side cancel out, leaving us with:
4b = 10
To solve for b, we divide both sides of the equation by 4:
b = 10/4
b = 2.5
However, based on your response, it seems that the solution might be different. Let's try a different approach to find the correct solution.
b/17 + 3b/17 = 10/17
Combining the fractions on the left side, we have:
(4b)/17 = 10/17
To isolate the variable term b, we can multiply both sides of the equation by 17:
17 * [(4b)/17] = 17 * (10/17)
The 17s on the left side cancel out, leaving us with:
4b = 10
Now, let's solve for b by dividing both sides of the equation by 4:
b = 10/4
b = 2.5
It seems that we end up with the same solution as before. If this answer is incorrect, please let me know or provide any additional information.
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