Question

solve the system of equations.
$-5x + 2y = 9$
$y = 7x$
$x = square$
$y = square$
show calculator

Explanation:

Step1: Substitute $y=7x$ into first equation

$-5x + 2(7x) = 9$

Step2: Simplify left-hand side

$-5x + 14x = 9$
$9x = 9$

Step3: Solve for $x$

$x = \frac{9}{9} = 1$

Step4: Solve for $y$ using $y=7x$

$y = 7(1) = 7$

Answer:

$x = 1$
$y = 7$