Question

solve the system of equations using subtraction.$2x - 7y = 5$$4x - 7y = 17$the solution is $\boldsymbol{\square}$. (type an ordered pair.)

Explanation:

Step1: Subtract equations to eliminate $y$

$$(4x - 7y) - (2x - 7y) = 17 - 5$$
$$4x -7y -2x +7y = 12$$
$$2x = 12$$

Step2: Solve for $x$

$$x = \frac{12}{2} = 6$$

Step3: Substitute $x=6$ into first equation

$$2(6) - 7y = 5$$
$$12 - 7y = 5$$

Step4: Solve for $y$

$$-7y = 5 - 12$$
$$-7y = -7$$
$$y = \frac{-7}{-7} = 1$$

Answer:

$(6, 1)$