Question

Please help me with this .....

Use the elimination method to solve the system of equations. Choose the correct ordered pair. 2x – 5y = 2 3x + 2y = –16
A. (–4, –2)
B. (2, –11)
C. (4, –14)
D. (–9, –4)

Answer 1

It is -4,-2

Explanation:

Answer 2

The solution is (-4, -2)

Explanation:

Given two equations

`2x-5y=2` → (1)

`3x+2y=-16` → (2)

we have to solve the system of equations by elimination method

Multiply (1) by 3 and (2) by 2 and then subtracting we get

`3(2x-5y)-2(3x+2y)=6-(-32)`

`6x-15y-6x-4y=38`

`-19y=38`

`y=-2`

⇒
`2x=2+5(-2)=2-10=-8`

`x=-4`

Hence, the solution is (-4, -2)

Option A is correct