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Solve for the value of y when x=−10.

y=2x+3
y=x−7

x
−10
=

y
=
2x
+
3
y
=
2
·
(−10)
+
3
y
=

1 answer

To solve for the value of \( y \) when \( x = -10 \), we will use the equation \( y = 2x + 3 \).

Substituting \( x \) with \( -10 \):

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

Calculating this step-by-step:

  1. Multiply \( 2 \) by \( -10 \): \[ 2 \cdot (-10) = -20 \]

  2. Add \( 3 \): \[ -20 + 3 = -17 \]

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

\[ y = -17 \]

Now, let's also verify using the second equation \( y = x - 7 \):

Substituting \( x = -10 \):

\[ y = -10 - 7 \]

Calculating this:

\[ -10 - 7 = -17 \]

So, in both equations, when \( x = -10 \), we find:

\[ y = -17 \]

Therefore, the final result is:

\[ y = -17 \]