Solve by Substitution -2x-y=-14 , 3x-y=11

Problem

{[−2*x−y=−14],[3*x−y=11])

Solution

1. Isolate the variable y in the first equation by adding y to both sides and adding 14 to both sides.

−2*x+14=y

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

3*x−(−2*x+14)=11

3. Distribute the negative sign and combine like terms to solve for x

3*x+2*x−14=11

5*x−14=11

5*x=25

x=5

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

y=−2*(5)+14

y=−10+14

y=4

Final Answer

(x,y)=(5,4)

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