Question

solve the system of equations using subtraction.
2x - 9y = 5
4x - 9y = 19
the solution is
(type an ordered pair.)

Explanation:

Step1: Subtract equations to eliminate $y$

$$(4x - 9y) - (2x - 9y) = 19 - 5$$

Step2: Simplify to solve for $x$

$$4x - 9y - 2x + 9y = 14 \implies 2x = 14 \implies x = 7$$

Step3: Substitute $x=7$ into first equation

$$2(7) - 9y = 5$$

Step4: Solve the equation for $y$

$$14 - 9y = 5 \implies -9y = 5 - 14 \implies -9y = -9 \implies y = 1$$

Answer:

$(7, 1)$