Solve by Substitution 4x-y=6 , 9x-2y=14

Problem

{[4*x−y=6],[9*x−2*y=14])

Solution

1. Isolate the variable y in the first equation.

4*x−y=6

−y=−4*x+6

y=4*x−6

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

9*x−2*(4*x−6)=14

3. Distribute the −2 into the parentheses.

9*x−8*x+12=14

4. Combine like terms and solve for x

x+12=14

x=2

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

y=4*(2)−6

y=8−6

y=2

Final Answer

(x,y)=(2,2)

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