Solve by Substitution 4x+3y=-10 , 3x+2y=-6

Problem

{[4*x+3*y=−10],[3*x+2*y=−6])

Solution

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

3*x+2*y=−6

2*y=−6−3*x

y=−3−3/2*x

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

4*x+3*(−3−3/2*x)=−10

3. Solve for x by distributing and combining like terms.

4*x−9−9/2*x=−10

−1/2*x−9=−10

−1/2*x=−1

x=2

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

y=−3−3/2*(2)

y=−3−3

y=−6

Final Answer

(x,y)=(2,−6)

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