Solve by Substitution -8x+3y=-33 , 5x+y=35

Problem

{[−8*x+3*y=−33],[5*x+y=35])

Solution

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

5*x+y=35

y=35−5*x

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

−8*x+3*(35−5*x)=−33

3. Distribute the constant 3 into the parentheses.

−8*x+105−15*x=−33

4. Combine the like terms involving x

−23*x+105=−33

5. Isolate the x term by subtracting 105 from both sides.

−23*x=−138

6. Solve for x by dividing both sides by −23

x=6

7. Substitute the value of x back into the isolated equation for y

y=35−5*(6)

y=35−30

y=5

Final Answer

(x,y)=(6,5)

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