Question

Solve the system of equations using subtraction.

2x - 3y = -5
2x + y = 7
The solution is . (Type an ordered pair.)

Answer 1

`y=3\\x=2\\`

Explanation:

`(2x-3y)-(2x+7)\\=-4y=(-5)-(7)\\-4y=-12\\y=12/4\\y=3`

Insert y=3 into any one equation in the system of equations:

`2x-3(3)=-5\\2x-9=-5\\2x=4\\x=4/2\\x=2`

or

`2x+(3)=7\\2x=4\\x=4/2\\x=2`

Answer 2

x = 2 and y = 3

Explanation:

given:

• 2x - 3y = -5
• 2x + y = 7

using elimination rule:

2x - 3y = -5

- 2x - y = - 7

................................

-4y = -12

y = 3

Find x:

2x - 3y = -5

2x - 3(3) = -5

2x - 9 = -5

2x = - 5+9

2x = 4

x = 2