Question

Solve Using Substitution −9x+7y=−16,x=8

A. (2,−6)
B. (−2,6)
C. (−1,3)
D. (1,−3)

Answer 1

After substituting x=8 into −9x+7y=−16, we find that y=8. The final answer is the ordered pair (8, 8), which is not among the provided options.

To solve the system of equations −9x+7y=−16 and x=8 using substitution, we first substitute the value of x into the first equation.

−9(8) + 7y = −16
−72 + 7y = −16
7y = −16 + 72
7y = 56
y = 8

Now that we have the value of y, we can write the final answer using the given x value:

x = 8
y = 8

Therefore, the solution to the system is the ordered pair (8, 8).

So, option A (2,−6), B (−2,6), C (−1,3), and D (1,−3) are all incorrect. The correct final answer is none of the given options.