Solve by Substitution -8x-10y=24 , 6x+5y=2

Problem

{[−8*x−10*y=24],[6*x+5*y=2])

Solution

1. Isolate a variable in one of the equations. We will solve the second equation for 5*y

6*x+5*y=2

5*y=2−6*x

2. Divide by the coefficient to fully isolate y

y=(2−6*x)/5

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

−8*x−10*((2−6*x)/5)=24

4. Simplify the equation by distributing the −10

−8*x−2*(2−6*x)=24

−8*x−4+12*x=24

5. Combine like terms and solve for x

4*x−4=24

4*x=28

x=7

6. Substitute the value of x back into the expression for y

y=(2−6*(7))/5

y=(2−42)/5

y=(−40)/5

y=−8

Final Answer

(x,y)=(7,−8)

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