Solve by Substitution -5x+5y=15 , -2x+y=-3

Problem

{[−5*x+5*y=15],[−2*x+y=−3])

Solution

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

−2*x+y=−3

y=2*x−3

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

−5*x+5*(2*x−3)=15

3. Distribute the constant 5 into the parentheses.

−5*x+10*x−15=15

4. Combine like terms on the left side of the equation.

5*x−15=15

5. Solve for x by adding 15 to both sides and then dividing by 5

5*x=30

x=6

6. Substitute the value of x back into the isolated equation for y to find the second coordinate.

y=2*(6)−3

y=12−3

y=9

Final Answer

(x,y)=(6,9)

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