SOLUTION: help would be appreciated! Use substitution to solve x + 3y = -3 and 3x - 5y = 19

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Question 63161This question is from textbook An Incremental Development
: help would be appreciated!
Use substitution to solve
x + 3y = -3
and
3x - 5y = 19 This question is from textbook An Incremental Development

Answer by jai_kos(139) About Me  (Show Source):
You can put this solution on YOUR website!
x + 3y = -3 -->(1)

3x - 5y = 19 -->(2)

Multiply the equation(1) by 3, we get
3x + 9y = - 9
3x = - 9y - 9 --->(3)

Now substitue equation(3) in equation(2), we get
-9y -9 - 5y = 19
- 14y = 19 + 9
-14 y = 28
y = 28 /-14 = -2

Now substitue for y =-2 in equation(1), we get

x + 3( -2) = -3
x -6 = -3
x = -3 + 6
x = 3
Therefore x =3 and y =-2