Solving a System of Equations

3 Methods

Solve system using substitution:

2x+3y=7

x+2y=5

Step 1: Solve one equation for one variable

x+2y=5

x=5-2y

Step 2: Substitute solved equation into other equation

2(5-2y)+3y=7

Step 3: Solve for remaining variable

10-4y+3y=7

-y=-3

y=3

Step 4: Substitute solved variable back into the original equation to solve for the remaining variable

x+2y=5

x+2(3)=5

x+6=5

-6=-6

x=-1

Solution: (-1,3)