Solve by Substitution 2x+y=7 , 3x+3y=6

Problem

{[2*x+y=7],[3*x+3*y=6])

Solution

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

y=7−2*x

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

3*x+3*(7−2*x)=6

3. Distribute the 3 into the parentheses.

3*x+21−6*x=6

4. Combine like terms on the left side of the equation.

−3*x+21=6

5. Solve for x by subtracting 21 from both sides and then dividing by −3

−3*x=−15

x=5

6. Substitute the value of x back into the isolated equation for y to find the second coordinate.

y=7−2*(5)

y=7−10

y=−3

Final Answer

(x,y)=(5,−3)

Want more problems? Check here!