Respuesta :

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.

Answer:

Step-by-step explanation:

Okay so solve this this is how you do it

[tex]-2x-y=-4[/tex] and [tex]x+2y=5[/tex]

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

[tex]1(-2x-y=-4)\\2(x+2y=5)\\\\[/tex]

[tex]-2x-y=-4\\2x+4y=10[/tex]

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

[tex]-y=-4\\4y=10[/tex]

add them both and solve for y

[tex]3y=6\\y=\frac{6}{3}\\y=2[/tex]

Now just substitute 2 for y

[tex]-2x-2=-4\\-2x=-4+2\\-2x=-2\\x=\frac{-2}{-2} \\x= 1[/tex]

Or

[tex]x+2(2)=5\\x+4=5\\x=5-4\\x=1[/tex]

In both the equations your answer will be the same

Hope this helps :)

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