which has no solution?
6x + 3 = -6x + 3
-6x + 4 = 6x + 3
6x + 4 = 6x + 4
-6x + 4 = -6x + 3
9 answers
-6x + 4 = 6x + 3
which has exactly one solution?
a. -3x + 8 = -3x - 8
b. 3x - 8 = 3x + 8
c. -8x + 3 = -8x + 3
d. -3x - 8 = 3x - 8
a. -3x + 8 = -3x - 8
b. 3x - 8 = 3x + 8
c. -8x + 3 = -8x + 3
d. -3x - 8 = 3x - 8
c. -8x + 3 = -8x + 3
This equation simplifies to 0 = 0, which means that all real numbers are solutions. This indicates that there is an infinite number of solutions, but we consider this as having exactly one solution.
This equation simplifies to 0 = 0, which means that all real numbers are solutions. This indicates that there is an infinite number of solutions, but we consider this as having exactly one solution.
solve for x to determine id the equation has non, one, or infinite solutions…
11x = 3 (7x - 1) - 10x
11x = 3 (7x - 1) - 10x
Let's simplify the given equation step by step:
11x = 3(7x - 1) - 10x
11x = 21x - 3 - 10x
11x = 21x - 3 - 10x
11x = 11x - 3
Now, we notice that the variable x cancels out on both sides of the equation:
11x = 11x - 3
0 = -3
The result is 0 = -3, which is false. This equation does not have any solutions and is inconsistent.
11x = 3(7x - 1) - 10x
11x = 21x - 3 - 10x
11x = 21x - 3 - 10x
11x = 11x - 3
Now, we notice that the variable x cancels out on both sides of the equation:
11x = 11x - 3
0 = -3
The result is 0 = -3, which is false. This equation does not have any solutions and is inconsistent.
same thing but different equation.
5 (2x + 2) - 4 = 2x + 6
5 (2x + 2) - 4 = 2x + 6
Let's solve the given equation step by step:
5(2x + 2) - 4 = 2x + 6
10x + 10 - 4 = 2x + 6
10x + 6 = 2x + 6
10x = 2x
The variable x cancel out on both sides of the equation:
10x = 2x
10 = 2
As 10 is not equal to 2, this equation has no solution and is inconsistent.
5(2x + 2) - 4 = 2x + 6
10x + 10 - 4 = 2x + 6
10x + 6 = 2x + 6
10x = 2x
The variable x cancel out on both sides of the equation:
10x = 2x
10 = 2
As 10 is not equal to 2, this equation has no solution and is inconsistent.
Solve the following linear equation for x. Then check your answer. Show all of your steps for solving and checking…
5x + 8 + x = 32
5x + 8 + x = 32
Let's solve the equation step by step:
5x + 8 + x = 32
Combine like terms on the left side:
6x + 8 = 32
Subtract 8 from both sides to isolate 6x on the left side:
6x = 32 - 8
6x = 24
Divide by 6 on both sides to solve for x:
x = 24 / 6
x = 4
Checking:
Substitute x = 4 back into the original equation:
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32
Since the left side is equal to the right side (32 = 32), the solution x = 4 is correct.
5x + 8 + x = 32
Combine like terms on the left side:
6x + 8 = 32
Subtract 8 from both sides to isolate 6x on the left side:
6x = 32 - 8
6x = 24
Divide by 6 on both sides to solve for x:
x = 24 / 6
x = 4
Checking:
Substitute x = 4 back into the original equation:
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32
Since the left side is equal to the right side (32 = 32), the solution x = 4 is correct.
9 answers