Solve by Substitution 2x-3y=-7 , 3x+y=-5

Problem

{[2*x−3*y=−7],[3*x+y=−5])

Solution

1. Isolate the variable y in the second equation to prepare for substitution.

3*x+y=−5

y=−5−3*x

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

2*x−3*(−5−3*x)=−7

3. Distribute the −3 into the parentheses.

2*x+15+9*x=−7

4. Combine like terms and solve for x

11*x+15=−7

11*x=−22

x=−2

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

y=−5−3*(−2)

y=−5+6

y=1

Final Answer

(x,y)=(−2,1)

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