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

1 Answer
Aug 15, 2015

#color(red)("The ordered pair is (2,5).")#

One way is to use the method of elimination.

Step 1. Enter the equations.

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

Step 2. Add Equations 1 and 2.

#4x=8#

[3] #x=2#

Step 3. Substitute Equation 3 in Equation 2.

#x+2y=12#
#2+2y=12#
#2y=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.

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

It checks!

Our solution is correct.