SOLUTION: Solve the following system of equations. 2x + y = 3 x = 2y - 1 Make sure there are NO SPACES in your answer. Include a comma in your answer.

Algebra ->  Expressions-with-variables -> SOLUTION: Solve the following system of equations. 2x + y = 3 x = 2y - 1 Make sure there are NO SPACES in your answer. Include a comma in your answer.       Log On


   



Question 555083: Solve the following system of equations.
2x + y = 3
x = 2y - 1
Make sure there are NO SPACES in your answer. Include a comma in your answer.

Answer by kkasko(46) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following system of equations.
2x + y = 3
x = 2y - 1
Make sure there are NO SPACES in your answer. Include a comma in your answer.
It looks like I could substitute the x=2y-1. Into 2x+y=3
2(2y-1)+y=3
4y-2+y=3
5y=5
y=1
x=2(1)-1
x=1
(1,1)
CHECK
2x+y=3
2(1)+(1)=3
2+1=3
3=3
Left hand side=Right hand side
Check other equation
x=2y-1
1=2(1)-1
1=1
Therefore the solution is (1,1). Since the left hand side= right hand side in each equation