Solve by Substitution 4x-7y=13 , x+9y=5

Problem

{[4*x−7*y=13],[x+9*y=5])

Solution

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

x=5−9*y

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

4*(5−9*y)−7*y=13

3. Distribute the 4 into the parentheses.

20−36*y−7*y=13

4. Combine the y terms.

20−43*y=13

5. Solve for y by subtracting 20 from both sides and then dividing by −43

−43*y=−7

y=7/43

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

x=5−9*(7/43)

7. Simplify the expression to find the value of x

x=215/43−63/43

x=152/43

Final Answer

(x,y)=(152/43,7/43)

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