Question

How do you solve the following system?: `-3x -2y =5, -4x +7y = -3`

Answer 1

`x=29/13` and `y=-47/13`

Explanation:

To solve this question there are a number of ways, the most basic being rearrangement and substitution.
To start off you would rearrange the top equation to get y by itself, to do this you would follow these steps
`-3x+3x-2y=5+3x`
Which gives the answer
`-2y=5+3x`
Y isn't by itself yet so you would then:
`(-2y)/-2=(5+3x)/-2`
Giving the answer
`y=-(5+3x)/2`

Now you must substitute this into the second equation, it would look like this:
`-4x+7[(-5+3x)/2]=-3`
You would then simplify to get:
`-8x-35+21x=-6`
Which then simplifies to:
`13x=32`
Therefore `x=29/13`

Then substitute the value of `x` into the equation where `y=-(5+3x)/2`
Which gives the answer:
`y=-47/13`