Solve by Substitution 2x+y=14 , 3x-y=1

Problem

{[2*x+y=14],[3*x−y=1])

Solution

1. Isolate the variable y in the first equation by subtracting 2*x from both sides.

y=14−2*x

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

3*x−(14−2*x)=1

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

3*x−14+2*x=1

5*x−14=1

5*x=15

x=3

4. Substitute the value of x back into the isolated equation for y to find its value.

y=14−2*(3)

y=14−6

y=8

Final Answer

(x,y)=(3,8)

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