Question

equations
learning target: i can solve systems of equations using the graphing me
each systems of equations. you can check your work by
the given equations or using a graphing calculator to
mos.com/calculator)

1. ( y = 2x + 8 ) ( -2x + 3y = 12 )

Explanation:

Step1: Substitute \( y = 2x + 8 \) into \( -2x + 3y = 12 \)

Substitute \( y \) in the second equation: \( -2x + 3(2x + 8) = 12 \)

Step2: Simplify the equation

Expand and simplify: \( -2x + 6x + 24 = 12 \) → \( 4x + 24 = 12 \)

Step3: Solve for \( x \)

Subtract 24 from both sides: \( 4x = 12 - 24 \) → \( 4x = -12 \) → \( x = -3 \)

Step4: Solve for \( y \)

Substitute \( x = -3 \) into \( y = 2x + 8 \): \( y = 2(-3) + 8 = -6 + 8 = 2 \)

Answer:

The solution to the system is \( x = -3 \), \( y = 2 \) (or the ordered pair \((-3, 2)\))