Question

Solve the system of equations without graphing

Equation 1: 2x + 3y = 5
Equation 2: 2x + 4y = 9

Answer 1

x= -7/2 y=4

Explanation:

1)reverse the first equation exactly, i.e. multiply by minus;

-2x-3y=-5

2)then sum the two equations

-2x-3y=-5

2x+4y=9

+

-------------------------

y=4 (two x's take each other away)

3)now write 4 in the places where you see y in the equations

2x+12=5

2x=-7

x=-7/2