Question

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Solve the System of Equations using Elimination/Combinations
- 2x - y = - 4
x = 2y = 5

Answer 1

Explanation:

Okay so solve this this is how you do it

`-2x-y=-4` and
`x+2y=5`

To cancel out the X we have to make x into 2 x

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

`-2x-y=-4\\2x+4y=10`

we can cancel out -2x and 2x now leaving us with

`-y=-4\\4y=10`

add them both and solve for y

`3y=6\\y=(6)/(3)\\y=2`

Now just substitute 2 for y

`-2x-2=-4\\-2x=-4+2\\-2x=-2\\x=(-2)/(-2) \\x= 1`

Or

`x+2(2)=5\\x+4=5\\x=5-4\\x=1`

In both the equations your answer will be the same

Hope this helps :)

If you have an doubt or need further help just reply :)

Answer 2

We have 2 equations.

2x + y = 4 and x + 2y = 5

Let's add them together.

3x + 3y = 9

Divide both sides by 3.

x + y = 3

Looking back at the 2 initial equations, we can conclude x = 1 and y = 2.