SOLUTION: Solve and then check the system of equations using addition method. SHOW ALL WORK AND STEPS 5x-4y=-3 7y=2x+12

Question 969201: Solve and then check the system of equations using addition method. SHOW ALL WORK AND STEPS
5x-4y=-3
7y=2x+12
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
5x - 4y = -3
7y = 2x + 12
;
put the 2nd equation into the standard form also, subtract 2x from both sides
5x - 4y = -3
-2x + 7y = 12
:
We want to get the coefficients of x to be the same.
multiply the 1st equation by 2, the 2nd equation by 5, so we have
10x - 8y = -6
-10x + 35y = 60
-----------------adding eliminates x, find y
0 + 27y = 54
y = 54/27
y = 2
:
use the 1st original equation to find x; 5x - 4y = -3
5x - 4(2) = -3
5x - 8 = -3
5x = -3 + 8
5x = 5
x = 5/5
x = 1
:
:
Confirm these solutions in the 2nd original equation: 7y = 2x + 12
7(2) = 2(1)+ 12
14 = 2 + 12
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