Question

Help, Solve it by using Elmination, Linear Equation

Answer 1

The mistake they made was that they subtracted
`2y` from
`2y` and got
`0y`. Instead of subtracting, they should have added it.

Explanation:

Given:

`8x+2y=44\\5x+2y=35`

We can combine the system of equations into a single equation:

`13x+4y=79`

From this step, we can conclude that the answer for part b is incorrect. The mistake they made was that they subtracted
`2y` from
`2y` and got 0y. Instead of subtracting, they should have added it.

We can continue solving the system of equations by writing y in terms of x.

`8x+2y=44\\2y=44-8x\\y=22-4x`

now substitute this into the single equation:

`13x+4y=79\\13x+4(22-4x)=79\\13x+88-16x=79\\-3x+88=79\\-3x=-9\\x=3`

Since we now know that
`x=3\\`, we can substitute this into the equation we made for y.

`y=22-4x\\y=22-4(3)\\y=22-12\\y=10`

The solution for the system of equations is
`x=3` and
`y=10\\`.