SOLUTION: To solve a system of two linear equations in two variables by the addition method. Solve by the addition method: 2x-3y=14 5x-6y=32

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Question 198304This question is from textbook Intermediate Algebra An Applied Approach
: To solve a system of two linear equations in two variables by the addition method. Solve by the addition method:
2x-3y=14
5x-6y=32 This question is from textbook Intermediate Algebra An Applied Approach

Found 2 solutions by checkley77, arallie:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2x-3y=14 multiply this equation by -2 & add
5x-6y=32
-4x+6y=-28
-------------------
x=4 ans.
5*4-6y=32
20-6y=32
-6y=32-20
-6y=12
y=12/-6
y=-2 ans.
Proof:
2*4-3*-2=14
8+6=14
14=14

Answer by arallie(162) About Me  (Show Source):
You can put this solution on YOUR website!
2x-3y=14 & 5x-6y=32
2x-3y=14--->-4x%2B6y=-28
-4x%2B6y=-28
+5x-6y=+32
++x%2B0y=++4
++x+++=++4
Substitute
5%284%29-6y=32
20-6y=32
-6y=12
y=-2%29
Check
2%284%29-3%28-2%29=14
8%2B6=14
14=14
(4,-2)