Question

Solve the following system of equations. 2x + y = 3 x = 2y - 1

Answer 1

Using the substitution method.

2x + y = 3
x = 2y -1                 Since x has been isolated already plug it into Equation 1 

2(2y - 1) + y = 3       Solve for y.
4y - 2 + y = 3
    +2          +2           Combine like terms and isolate y.
4y + y  =  5
        5y = 5               Isolate y by dividing both sides by 5
5y/5  =   5/5
  y   =   1  

With y solved, solve either system for x.

x = 2(1) - 1
x = 2-1 
x = 1

Solution is (1,1)

Answer 2

2(2y-1)+y=3
y=1
x=2 x1 - 1
x=1