SOLUTION: solve the following systems of equations x + 5y=2 3x + 19=y

Question 443108: solve the following systems of equations x + 5y=2 3x + 19=y
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
Get in this form ax+by =c
-----------
x+5y=2
3x-y=-19
Multiply the the first by -3
-3x -15y =-6
3x -y = -19
Add the two together
0 + -16y = -25
y = 25/16
x + 5(25/16) = 2
x + 125/16 = 2
x = 32/16 - 125/16
x = -93/16
x = -93/16 y= 25/16
Let's check this:

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
We'll use substitution. After moving 5*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=1.5625. Since , x=-5.8125.

Answer: .

Which in decimal form is the same as before.

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