Solve by Substitution 5x-y=19 , x+9y=59

Problem

{[5*x−y=19],[x+9*y=59])

Solution

1. Isolate the variable x in the second equation by subtracting 9*y from both sides.

x=59−9*y

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

5*(59−9*y)−y=19

3. Distribute the constant 5 into the parentheses.

295−45*y−y=19

4. Combine the like terms involving y

295−46*y=19

5. Isolate the term with y by subtracting 295 from both sides.

−46*y=−276

6. Solve for y by dividing both sides by −46

y=6

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

x=59−9*(6)

8. Simplify the expression to find the value of x

x=59−54

x=5

Final Answer

(x,y)=(5,6)

Want more problems? Check here!