Question

refer to the graph of the system of equations in question 1.
y = 2x + 2
y = x
the solution is to the system of equations is ( , )

Explanation:

Step1: Substitute \( y = x \) into \( y = 2x + 2 \)

Since \( y = x \), we can replace \( y \) in the first equation with \( x \). So we get \( x = 2x + 2 \).

Step2: Solve for \( x \)

Subtract \( 2x \) from both sides: \( x - 2x = 2x + 2 - 2x \), which simplifies to \( -x = 2 \). Multiply both sides by -1: \( x = -2 \).

Step3: Find \( y \)

Since \( y = x \), substitute \( x = -2 \) into \( y = x \). So \( y = -2 \).

Answer:

\((-2, -2)\)