Question

Use elimination but HURRY

Answer 1

The solution of the system is the point (-2,4)

Explanation:

we have

`2x-(3)/(4)y=-7` ---> equation A

`x+(1)/(2)y=0` ----> equation B

Solve the system by elimination

Multiply the equation B by -2 both sides

`-2(x+(1)/(2)y)=-2(0)`

`-2x-y=0` ----> equation C

Adds equation A and equation C

`2x-(3)/(4)y=-7\\-2x-y=0\\--------\\\\-(3)/(4)y-y=-7\\\\-(7)/(4)y=-7\\\\y=4`

Find the value of x

substitute the value of y in any equation

`x+(1)/(2)(4)=0`

`x+2=0`

`x=-2`

The solution of the system is the point (-2,4)