Solve by Substitution x+5y=4 , 6x-5y=3

Problem

{[x+5*y=4],[6*x−5*y=3])

Solution

1. Isolate the variable x in the first equation by subtracting 5*y from both sides.

x=4−5*y

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

6*(4−5*y)−5*y=3

3. Distribute the 6 into the parentheses.

24−30*y−5*y=3

4. Combine the like terms involving y

24−35*y=3

5. Isolate the y term by subtracting 24 from both sides.

−35*y=−21

6. Solve for y by dividing both sides by −35 and simplifying the fraction.

y=(−21)/(−35)

y=3/5

7. Substitute the value of y back into the expression for x found in step 1.

x=4−5*(3/5)

8. Simplify the expression to find the value of x

x=4−3

x=1

Final Answer

(x,y)=(1,3/5)

Want more problems? Check here!