Question

Solve this system using elimination.

3x+4y=5
2x+3y=4

Show work please

Answer 1

3x+4y=5
2x+3y=

-2(3x+4y)=5(-2)
3(2x+3y)=4(3)

-6x-8y=(-10)
6x+9y=12

Add the equations

-6x-8y=(-10)
+ 6x+9y=12
-----------------
0x+y=2
y=2

Substitue y into an equation

6x+9(2)=12
6x+18=12
6x=-6
x = -1
y = 2