Question

4x+7y=26 4x-5y=2 elimination method

Answer 1

(3, 2)

x= 3

y= 2

Explanation:

`4x+7y=26\\4x-5y=2`

You have to cancel out one of the variables. In this case I am canceling out 4x. I'm doing that by multiplying all the numbers in that equation by -1 because 4x is positive and I'm doing the inverse property of it.

`-1*(4x+7y=26)\\4x-5y=2`

Now you have your new equation.

`-4x-7y=-26\\4x-5y=2`

Next, you have to add the two equations together.

`-12y=-24`

You divide -12 by -24 and you get 2.

`y=2`

Now you have to substitute 2 to find out what x is. You can pick any equation to substitute with.

`4x+7y=26\\4x+7(2)=26`

Then you solve it to find x.

`4x+7(2)=26\\4x+14=26\\4x=12\\x=3`

Your final answer for x should be 3. To conclude, y= 2 and x= 3.