Question

Solve the system with elimination 4x+3y=1 -3x-6y=3

Answer 1

x = 1, y = -1

Explanation:

If we have the two equations:

`4x+3y=1` and
`-3x - 6y = 3`, we can look at which variable will be easiest to eliminate.

`y` looks like it might be easy to get rid of, we just have to multiply
`4x+3y=1` by 2 and y is gone (as -6y + 6y = 0).

So let's multiply the equation
`4x+3y=1` by 2.

`2(4x + 3y = 1)\\8x + 6y = 2`

Now we can add these equations

`8x + 6y = 2\\-3x-6y=3\\`

------------------------

`5x = 5`

Dividing both sides by 5, we get
`x = 1`.

Now we can substitute x into an equation to find y.

`4(1) + 3y = 1\\4 + 3y = 1\\3y = -3\\y = -1`

Hope this helped!