Question

solve the system of equations using subtraction.$2x - 2y = -6$$2x + y = 9$the solution is $\boldsymbol{\square}$. (type an ordered pair.)

Explanation:

Step1: Subtract equations to eliminate $x$

$$(2x + y) - (2x - 2y) = 9 - (-6)$$

Step2: Simplify to solve for $y$

$$2x + y - 2x + 2y = 15 \\ 3y = 15 \\ y = \frac{15}{3} = 5$$

Step3: Substitute $y=5$ into second equation

$$2x + 5 = 9$$

Step4: Solve for $x$

$$2x = 9 - 5 = 4 \\ x = \frac{4}{2} = 2$$

Answer:

$(2, 5)$