# math

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solve the system of equations by elimination.
3x-4y=22
2x+5y=7

• math -

3x - 4y = 22
2x + 5y = 7

To eliminate variable x,
Multiply by -2 (3x - 4y = 22)
Multiply by 3 (2x + 5y = 7)

Add equations
-6x + 8y = -44
6x + 15y = 21
0 + 23y = -23
23y = -23
y = -1

To find x,
substitute y = -1, in 2x + 5y = 7
2x + 5y = 7
2x - 5 = 7
2x = 12
x = 6

x = 6, y = -1

• math -

x=6

• math -

3x+4y=-22

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