Question

Use the elimination method to solve the system of equations choose the correct ordered pair x-y=2 2x+3y =14

A.(4,2)
B.(5,3)
C.(6,4)
D.(3,1)

Answer 1

it's A (4,2)............

Answer 2

Option A is correct

Explanation:

Given two equations

`x-y=2....(1)`

`2x+3y =14...(2)`

we have to solve the above equations using elimination method.

Multiplying (1) equation by 2, we get

`2x-2y=4....(3)`

Subtract equation (3) from (2), we get

`3y-(-2y)=14-4`

`5y=10`

Dividing by 5, we get

`y=(10)/(5)=2`

(1) implies x-y=2

`x-2=2`

`x=2+2=4`

hence, the solution is (4,2)

Option A is correct.