5x+3y=-12 and 8x+7y=-6 solve the following systems of equations
Mathematics · High School · Tue Nov 03 2020
Answered on
Okay so we have 2 equations:
- 1. 5x+3y=-12
and
2. 8x+7y=-6
in order to find the solution pair, we have to express one of them in relation to another
so i will express x in relation of y
lets take the first equation and solve it for x
5x+3y=-12
5x=-12-3y
x= (-12-3y)/5
This X we can now substitute on the second equation so we will have 1 unknown value
8*[(-12-3y)/5] +7y=-6
[(-96-24y)/5]+7y=-6
lets have them both on the same denominator which is 5
so:
[(-96-24y)+7y]/5=-6
-96-24y+7y=-30
-96-17y=-30
17y=--66
y=3.88
We know that x= (-12-3y)/5
x= (-12-3*3.88)/5
=(-12-11.64)/5
=-23.64/5
x=4.728