Question

To solve the system of equations below grace isolated the variable y in the first equation and then substituted it in the second equation. What was the resulting equation?

Answer 1

The correct option will be:
`(x^2)/(25)- (4x^2)/(49)=1`

Explanation:

The system of equations is...........

`4y=8x ............................(1)\\ \\ (x^2)/(25)- (y^2)/(49)=1 ........................(2)`

Grace isolated the variable y in the first equation. So, she divided equation (1) by 4 in both sides. That means.......

`(4y)/(4)= (8x)/(4) \\ \\ y=2x`

Then she substituted this
`y=2x` into equation (2).

So, the resulting equation will be......

`(x^2)/(25)- ((2x)^2)/(49)=1 \\ \\ (x^2)/(25)- (4x^2)/(49)=1`