Is (1,−7)
a solution to the equation y=x−8
?
To determine if (1, -7) is a solution to the equation y = x - 8, we substitute the x and y values into the equation and check if the equation holds true.
Given:
x = 1
y = -7
Substituting these values into the equation:
-7 = 1 - 8
Simplifying:
-7 = -7
Since the equation is true when the values are substituted, (1, -7) is indeed a solution to the equation y = x - 8.
Is (2, 12)
a solution to the equation y=−6x
?
To determine if (2, 12) is a solution to the equation y = -6x, we substitute the x and y values into the equation and check if the equation holds true.
Given:
x = 2
y = 12
Substituting these values into the equation:
12 = -6(2)
Simplifying:
12 = -12
The equation is not true when the values are substituted. Therefore, (2, 12) is not a solution to the equation y = -6x.
To check if (1, -7) is a solution to the equation y = x - 8, we need to substitute the x and y values into the equation and see if the equation holds true.
Substituting x = 1 and y = -7 into the equation, we have:
-7 = 1 - 8
Simplifying the right side, we get:
-7 = -7
Since the equation is true, (1, -7) is indeed a solution to the equation y = x - 8.