How do you solve by substitution 3x + 2y = 11 and x - 2 = -4y?

Apr 17, 2018

$\left(4 , - \frac{1}{2}\right)$

Explanation:

$3 x + 2 y = 11 \mathmr{and} x - 2 = - 4 y$
Step 1:Choose an equation $x - 2 = - 4 y$
Step 2: Isolate a variable $x = - 4 y + 2$
Step 3: Substitute $- 4 y + 2$ for $x$ in the other equation
$3 \left(- 4 y + 2\right) + 2 y = 11$
Step 4:Distribute $- 12 y + 6 + 2 y = 11$
Step 5:Simplify $- 10 y = 5$
Step 6: Find $y$ value $y = - \frac{1}{2}$
Step 7: Plug y value back into any equation $x - 2 = - 4 \left(- \frac{1}{2}\right)$
Step 8:Solve for "x " $x = 4$