Question

-y=x
9x-7y=-16
Solve by substitution

Answer 1

To solve the system of equations using substitution, we start with the two equations:

1. \(-y = x\)
2. \(9x - 7y = -16\)

First, we will solve the first equation for \(y\):
\[
y = -x
\]

Next, we substitute this expression for \(y\) in the second equation:
\[
9x - 7(-x) = -16
\]

This simplifies to:
\[
9x + 7x = -16
\]

Combining like terms gives:
\[
16x = -16
\]

Now, we solve for \(x\):
\[
x = \frac{-16}{16} = -1
\]

With \(x = -1\), we now substitute this value back into the equation \(y = -x\) to find \(y\):
\[
y = -(-1) = 1
\]

Thus, the solution to the system of equations is:
\[
(x, y) = (-1, 1)
\]

The solution is:
\[
\boxed{(-1, 1)}
\]