SOLUTION: Use the method of substitution to solve the system of linear equations a) x-y=8 x-y=-2 b) 2x+y=5 4x-3y=15

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Question 115826: Use the method of substitution to solve the system of linear equations
a) x-y=8
x-y=-2
b) 2x+y=5
4x-3y=15
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

a)



Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving -1*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=10=0. Since , x=18.

Answer: .



b)


Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 1*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=-1. Since , x=3.

Answer: .
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