Question

E

| 2.
Solve this system of two linear equations using the
linear combination method.
2x - 5y = 18
y-x=-10
​

Answer 1

`x=(32)/(3), y=(2)/(3)`

Explanation:

We can multiply the second equation by 2 to eliminate.

`2(y-x)=2(-10) \\ \\ 2y-2x=-20`

Let's eliminate.

`2x-5y=18 \\ -2x+2y=-20 \\ -3y=-2 \\ y=(2)/(3)`

Now we can substitute back into the equation to find the value of
`x`.

`(2)/(3)-x=-10 \\ \\ (2)/(3)-x=-(30)/(3) \\ \\ -x=-(32)/(3) \\ \\ x=(32)/(3)`