Equations

Solve the following system of equations:


6(x+7)+4(y-5)=12
2(x+y)-3(-2x+4y)=-44


Correct answer:

x =  -3
y =  2

Step-by-step explanation:


6(x+7)+4(y-5)=12
2(x+y)-3(-2x+4y)=-44

6·(x+7)+4·(y-5)=12
2·(x+y)-3·(-2·x+4·y)=-44

6x+4y = -10
8x-10y = -44

Pivot: Row 1 ↔ Row 2
8x-10y = -44
6x+4y = -10

Row 2 - 6/8 · Row 1 → Row 2
8x-10y = -44
11.5y = 23


y = 23/11.5 = 2
x = -44+10y/8 = -44+10 · 2/8 = -3

x = -3
y = 2

Our linear equations calculator calculates it.



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