To determine which of the following values is a solution to the equation y = 5x - 3, we need a set of values for x and their corresponding y-values to compare against.
As you didn't provide the potential solutions, please provide the options.
which of the following is a solution to the equation y=5x - 3
21 answers
which of the following is a solution to the equation y=5x - 3
(-3,12)
(1,-2)
(4,23)
(-2,-13)
(-3,12)
(1,-2)
(4,23)
(-2,-13)
To check if each given point is a solution to the equation y = 5x - 3, substitute the x-value into the equation and see if the resulting y-value matches.
Let's check each point:
1) For (-3, 12):
Substituting x = -3 into the equation:
y = 5(-3) - 3
y = -15 - 3
y = -18
The y-value obtained is -18. Hence, (-3, 12) is not a solution to the equation y = 5x - 3.
2) For (1, -2):
Substituting x = 1 into the equation:
y = 5(1) - 3
y = 5 - 3
y = 2
The y-value obtained is 2. Thus, (1, -2) is not a solution to the equation y = 5x - 3.
3) For (4, 23):
Substituting x = 4 into the equation:
y = 5(4) - 3
y = 20 - 3
y = 17
The y-value obtained is 17. Therefore, (4, 23) is not a solution to the equation y = 5x - 3.
4) For (-2, -13):
Substituting x = -2 into the equation:
y = 5(-2) - 3
y = -10 - 3
y = -13
The y-value obtained is -13. Thus, (-2, -13) is a solution to the equation y = 5x - 3.
Therefore, the solution to the equation y = 5x - 3 is (-2, -13).
Let's check each point:
1) For (-3, 12):
Substituting x = -3 into the equation:
y = 5(-3) - 3
y = -15 - 3
y = -18
The y-value obtained is -18. Hence, (-3, 12) is not a solution to the equation y = 5x - 3.
2) For (1, -2):
Substituting x = 1 into the equation:
y = 5(1) - 3
y = 5 - 3
y = 2
The y-value obtained is 2. Thus, (1, -2) is not a solution to the equation y = 5x - 3.
3) For (4, 23):
Substituting x = 4 into the equation:
y = 5(4) - 3
y = 20 - 3
y = 17
The y-value obtained is 17. Therefore, (4, 23) is not a solution to the equation y = 5x - 3.
4) For (-2, -13):
Substituting x = -2 into the equation:
y = 5(-2) - 3
y = -10 - 3
y = -13
The y-value obtained is -13. Thus, (-2, -13) is a solution to the equation y = 5x - 3.
Therefore, the solution to the equation y = 5x - 3 is (-2, -13).
Which equation represents the pattern in the table below?
noah’s ages 2, 5, 9, 12, 17
sarah’s ages 8, 11, 15, 18, 23
noah’s ages 2, 5, 9, 12, 17
sarah’s ages 8, 11, 15, 18, 23
To determine the equation that represents the pattern in the given table of Noah's and Sarah's ages, we need to find a relationship between the input (ages of Noah) and the output (ages of Sarah).
Upon inspecting the table, it appears that Sarah's age is always 6 years older than Noah's age.
Thus, we can establish the equation:
Sarah's age = Noah's age + 6.
This equation accounts for the pattern observed in the table.
Upon inspecting the table, it appears that Sarah's age is always 6 years older than Noah's age.
Thus, we can establish the equation:
Sarah's age = Noah's age + 6.
This equation accounts for the pattern observed in the table.
Which equation represents the pattern in the table below?
noah’s ages 2, 5, 9, 12, 17
sarah’s ages 8, 11, 15, 18, 23
s= n - 6
s= 3n
n= 3s
n= s - 6
noah’s ages 2, 5, 9, 12, 17
sarah’s ages 8, 11, 15, 18, 23
s= n - 6
s= 3n
n= 3s
n= s - 6
To determine which equation represents the pattern in the given table of Noah's and Sarah's ages, we need to analyze the relationship between the two sets of data.
Looking at the table, Noah's ages increase by 3 each time: 2, 5, 9, 12, 17. This suggests a linear relationship of the form "Noah's age = mx + b", where "m" is the slope and "b" is the y-intercept.
Similarly, Sarah's ages also increase by 3 each time: 8, 11, 15, 18, 23. This indicates a linear relationship as well.
Comparing the two sets of data, it is evident that Sarah's ages are consistently 6 years greater than Noah's ages. This means that the slope (m) of Sarah's age equation should be the same as Noah's age equation, and the y-intercepts should differ by 6.
This leads us to the equation: Sarah's age = Noah's age + 6.
Therefore, the equation that represents the pattern in the given table is: s = n + 6.
Looking at the table, Noah's ages increase by 3 each time: 2, 5, 9, 12, 17. This suggests a linear relationship of the form "Noah's age = mx + b", where "m" is the slope and "b" is the y-intercept.
Similarly, Sarah's ages also increase by 3 each time: 8, 11, 15, 18, 23. This indicates a linear relationship as well.
Comparing the two sets of data, it is evident that Sarah's ages are consistently 6 years greater than Noah's ages. This means that the slope (m) of Sarah's age equation should be the same as Noah's age equation, and the y-intercepts should differ by 6.
This leads us to the equation: Sarah's age = Noah's age + 6.
Therefore, the equation that represents the pattern in the given table is: s = n + 6.
which equation matches the statement: “The sum of -7x and 3 is 9”?
The statement "The sum of -7x and 3 is 9" can be translated into an equation by using the phrase "the sum of" to represent addition.
The equation that matches this statement is: -7x + 3 = 9.
The equation that matches this statement is: -7x + 3 = 9.
solve. x - 4 = -13
To solve the equation x - 4 = -13, we aim to isolate the variable x on one side of the equation.
To do this, we perform the same operation to both sides of the equation until we obtain the solution. In this case, since our variable x is being subtracted by 4, we can add 4 to both sides to eliminate the subtraction of 4 from the left side of the equation:
x - 4 + 4 = -13 + 4
Simplifying the equation:
x = -9
Therefore, the solution to the equation x - 4 = -13 is x = -9.
To do this, we perform the same operation to both sides of the equation until we obtain the solution. In this case, since our variable x is being subtracted by 4, we can add 4 to both sides to eliminate the subtraction of 4 from the left side of the equation:
x - 4 + 4 = -13 + 4
Simplifying the equation:
x = -9
Therefore, the solution to the equation x - 4 = -13 is x = -9.
solve. 3x + 5= 29
To solve the equation 3x + 5 = 29, we aim to isolate the variable x on one side of the equation.
To do this, we perform the same operation to both sides of the equation until we obtain the solution. In this case, since our variable x is being multiplied by 3 and then added by 5, we can reverse this operation by subtracting 5 from both sides first:
3x + 5 - 5 = 29 - 5
Simplifying the equation:
3x = 24
Next, to isolate x, we need to get rid of the coefficient 3. This can be done by dividing both sides of the equation by 3:
(3x) / 3 = 24 / 3
Simplifying the equation:
x = 8
Therefore, the solution to the equation 3x + 5 = 29 is x = 8.
To do this, we perform the same operation to both sides of the equation until we obtain the solution. In this case, since our variable x is being multiplied by 3 and then added by 5, we can reverse this operation by subtracting 5 from both sides first:
3x + 5 - 5 = 29 - 5
Simplifying the equation:
3x = 24
Next, to isolate x, we need to get rid of the coefficient 3. This can be done by dividing both sides of the equation by 3:
(3x) / 3 = 24 / 3
Simplifying the equation:
x = 8
Therefore, the solution to the equation 3x + 5 = 29 is x = 8.
solve. 1/4x = 16
To solve the equation (1/4)x = 16, we aim to isolate the variable x on one side of the equation.
To do this, we will multiply both sides of the equation by the reciprocal of 1/4, which is 4/1 or simply 4:
(1/4)x * 4 = 16 * 4
Simplifying the equation:
(4/1)x = 64
Next, to isolate x, we need to get rid of the coefficient (4/1). This can be done by multiplying both sides of the equation by the reciprocal of 4/1, which is 1/4:
(4/1)x * (1/4) = 64 * (1/4)
Simplifying the equation:
1x = 16
x = 16
Therefore, the solution to the equation (1/4)x = 16 is x = 16.
To do this, we will multiply both sides of the equation by the reciprocal of 1/4, which is 4/1 or simply 4:
(1/4)x * 4 = 16 * 4
Simplifying the equation:
(4/1)x = 64
Next, to isolate x, we need to get rid of the coefficient (4/1). This can be done by multiplying both sides of the equation by the reciprocal of 4/1, which is 1/4:
(4/1)x * (1/4) = 64 * (1/4)
Simplifying the equation:
1x = 16
x = 16
Therefore, the solution to the equation (1/4)x = 16 is x = 16.
solve. 1/4x = 16
x = 64
x = 12
x = 4
x = 20
x = 64
x = 12
x = 4
x = 20
To solve the equation (1/4)x = 16, we aim to isolate the variable x on one side of the equation.
To do this, we will multiply both sides of the equation by the reciprocal of 1/4, which is 4/1 or simply 4:
(1/4)x * 4 = 16 * 4
Simplifying the equation:
x = 64
Therefore, the solution to the equation (1/4)x = 16 is x = 64.
To do this, we will multiply both sides of the equation by the reciprocal of 1/4, which is 4/1 or simply 4:
(1/4)x * 4 = 16 * 4
Simplifying the equation:
x = 64
Therefore, the solution to the equation (1/4)x = 16 is x = 64.
solve. 4x + 5= 33
To solve the equation 4x + 5 = 33, we aim to isolate the variable x on one side of the equation.
To do this, we begin by subtracting 5 from both sides of the equation:
4x + 5 - 5 = 33 - 5
Simplifying the equation:
4x = 28
Next, to isolate x, we divide both sides of the equation by 4:
(4x) / 4 = 28 / 4
Simplifying the equation:
x = 7
Therefore, the solution to the equation 4x + 5 = 33 is x = 7.
To do this, we begin by subtracting 5 from both sides of the equation:
4x + 5 - 5 = 33 - 5
Simplifying the equation:
4x = 28
Next, to isolate x, we divide both sides of the equation by 4:
(4x) / 4 = 28 / 4
Simplifying the equation:
x = 7
Therefore, the solution to the equation 4x + 5 = 33 is x = 7.
solve. 4/3x - 2 = 18
To solve the equation (4/3)x - 2 = 18, we aim to isolate the variable x on one side of the equation.
First, we add 2 to both sides of the equation to eliminate the subtraction of 2 from the left side:
(4/3)x - 2 + 2 = 18 + 2
Simplifying the equation:
(4/3)x = 20
Next, we need to isolate x, so we multiply both sides of the equation by the reciprocal of (4/3), which is 3/4:
(4/3)x * (3/4) = 20 * (3/4)
Simplifying the equation:
(12/12)x = 60/4
Simplifying further:
x = 15
Therefore, the solution to the equation (4/3)x - 2 = 18 is x = 15.
First, we add 2 to both sides of the equation to eliminate the subtraction of 2 from the left side:
(4/3)x - 2 + 2 = 18 + 2
Simplifying the equation:
(4/3)x = 20
Next, we need to isolate x, so we multiply both sides of the equation by the reciprocal of (4/3), which is 3/4:
(4/3)x * (3/4) = 20 * (3/4)
Simplifying the equation:
(12/12)x = 60/4
Simplifying further:
x = 15
Therefore, the solution to the equation (4/3)x - 2 = 18 is x = 15.