In the solution to this system of equations, you found that x=−10. Find the value of y.

You’re trying to find the value of y when x=−10. You can use either equation to find the value of y. Start with y=2x+3. Substitute −10 for x in this equation.

y=2x+3
y=x−7

x
−10
=

y
=
2x
+
3
y
=
2
·
+
3

1 answer

To find the value of \( y \) when \( x = -10 \) using the equation \( y = 2x + 3 \), you can substitute \( -10 \) for \( x \):

\[ y = 2(-10) + 3 \]

Now, perform the calculation:

\[ y = -20 + 3 \]

\[ y = -17 \]

Thus, the value of \( y \) when \( x = -10 \) is \(-17\).

So the final answer is:

\[ y = -17 \]