Solve by Substitution 6x-4y=-44 , 2x+3y=-6

Problem

{[6*x−4*y=−44],[2*x+3*y=−6])

Solution

1. Isolate a variable in one of the equations. We will solve the second equation for x

2*x+3*y=−6

2*x=−3*y−6

x=−1.5*y−3

2. Substitute the expression for x into the first equation.

6*(−1.5*y−3)−4*y=−44

3. Distribute the constant and combine like terms to solve for y

−9*y−18−4*y=−44

−13*y−18=−44

−13*y=−26

y=2

4. Substitute the value of y back into the expression for x to find the final coordinate.

x=−1.5*(2)−3

x=−3−3

x=−6

Final Answer

(x,y)=(−6,2)

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