SOLUTION: solve by elimination method; 5x+5y=-11 7x-3y=19 The solution should turn out to be an ordered pair, I get lost when I am trying to get the x or the y.

Algebra ->  Expressions-with-variables -> SOLUTION: solve by elimination method; 5x+5y=-11 7x-3y=19 The solution should turn out to be an ordered pair, I get lost when I am trying to get the x or the y.      Log On


   

Question 166994: solve by elimination method;
5x+5y=-11
7x-3y=19
The solution should turn out to be an ordered pair, I get lost when I am trying to get the x or the y.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.5x%2B5y=-11
2.7x-3y=19
Let's get rid of y.
Multiply eq. 1 by 3 and eq. 2 by 5 and add them together.
3%285x%2B5y%29%2B5%287x-3y%29=3%2A%28-11%29%2B5%2819%29
15x%2B15y%2B35x-15y=-33%2B95
50x=62
highlight%28x=62%2F50=31%2F25%29
From 1,
1.5x%2B5y=-11
5%2831%2F25%29%2B5y=-11
5y=-11-155%2F25
5y=-275%2F25-155%2F25
5y=-430%2F25=-86%2F5
highlight%28y=-86%2F25%29
.
.
.
Let’s graph the equations to verify the solution.
The two lines are
y=-%28%285x%2B11%29%29%2F5
and
y=%287x-19%29%2F3
The solution is (1.24,-3.44)