# How do you find the ordered pair that satisfies 3x-2y=-4 and x+2y=12?

Aug 15, 2015

$\textcolor{red}{\text{The ordered pair is (2,5).}}$

One way is to use the method of elimination.

Step 1. Enter the equations.

[1] $3 x - 2 y = - 4$
[2] $x + 2 y = 12$

Step 2. Add Equations 1 and 2.

$4 x = 8$

[3] $x = 2$

Step 3. Substitute Equation 3 in Equation 2.

$x + 2 y = 12$
$2 + 2 y = 12$
$2 y = 10$
$y = 5$

Solution: The ordered pair that satisfies the equations is ($2 , 5$).

Check: Substitute the values of $x$ and $y$ in Equation 1.

$3 x - 2 y = - 4$
3×2-2×5 = -4
$6 - 10 = - 4$
$- 4 = - 4$

It checks!

Our solution is correct.