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Systems of equations in two variables with applications

-2x+7y=2
3x-5y=-14

Sagot :

apologiabiology
onne way is to eliminate terms
-2x+7y=2
3x-5y=-14
multiply first equation by 3 and second equaiton by 2
-6x+21y=6
6x-10y=-28
add them together to cancel x terms
-6x+21y=6
6x-10y=-28  +
0x+11y=-22
11y=-22
divide by 11
y=-2
subsitute
-2x+7(-2)=2
-2x-14=2
add 14 to both sides
-2x=16
divide both sides by 2
-x=8
multiply -1
x=-8



x=-8
y=-2
in (x,y) form
(-8,-2)

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