Show your work. Is (1, -7) a solution to the equation y = x - 8? Choose the correct answer.
a) yes
b) no
To determine if (1, -7) is a solution to the equation y = x - 8, we substitute x = 1 and y = -7 into the equation and see if both sides are equal.
Substituting x = 1 and y = -7 into y = x - 8:
-7 = 1 - 8
Simplifying the right side:
-7 = -7
Since both sides are equal, (1, -7) is indeed a solution to the equation y = x - 8.
Therefore, the correct answer is:
a) yes
To determine if (1, -7) is a solution to the equation y = x - 8, we substitute the values of x and y into the equation and see if the equation holds true.
Given: y = x - 8
Substituting x = 1 and y = -7 into the equation, we get:
-7 = 1 - 8
Simplifying the right side, we have:
-7 = -7
Since the left side equals the right side, we can conclude that (1, -7) is a solution to the equation y = x - 8.
Therefore, the correct answer is:
a) yes