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solve using substitution. y = -x - 10 y = x - 4 ( , )

Question

solve using substitution.

y = -x - 10
y = x - 4

( , )

Explanation:

Step1: Substitute y from first equation

Since \( y = -x - 10 \) and \( y = x - 4 \), set them equal: \( -x - 10 = x - 4 \)

Step2: Solve for x

Add \( x \) to both sides: \( -10 = 2x - 4 \)
Add 4 to both sides: \( -6 = 2x \)
Divide by 2: \( x = -3 \)

Step3: Find y using x = -3

Substitute \( x = -3 \) into \( y = x - 4 \): \( y = -3 - 4 = -7 \)

Answer:

\((-3, -7)\)