Question

find the solution of the system of equations.
$2x - 9y = 14$
$-5x + 9y = -8$
answer attempt 1 out of 2
(□,□) submit answer

Explanation:

Step1: Add the two equations

$2x - 9y + (-5x + 9y) = 14 + (-8)$
$\implies 2x - 9y -5x +9y = 6$
$\implies -3x = 6$

Step2: Solve for $x$

$x = \frac{6}{-3} = -2$

Step3: Substitute $x=-2$ into first equation

$2(-2) -9y = 14$
$\implies -4 -9y =14$

Step4: Solve for $y$

$-9y =14 +4$
$\implies -9y=18$
$\implies y = \frac{18}{-9} = -2$

Answer:

$(-2, -2)$