Solve by Substitution 3x-5y=15 , -2x+y=4

Problem

{[3*x−5*y=15],[−2*x+y=4])

Solution

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

−2*x+y=4

y=2*x+4

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

3*x−5*(2*x+4)=15

3. Distribute the −5 into the parentheses.

3*x−10*x−20=15

4. Combine like terms and solve for x

−7*x−20=15

−7*x=35

x=−5

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

y=2*(−5)+4

y=−10+4

y=−6

Final Answer

(x,y)=(−5,−6)

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