Question

Help me
2y = x + 2 
x – 3y = –5

Answer 1

Greetings!

"Solve:
`2y = x + 2` and
`x - 3y = -5`?"...

Solve using substitution:

`2y=x+2`

`y=(x+2)/2`
----------------------------

`x -3y = -5`
is also

`x - 3((x+2)/2) = -5`
Solve for x.

`x - 3((x+2)*1/2) = -5`
Distribute the parenthesis.

`x - 3(x*1/2+2*1/2) = -5`
Simplify.

`x - 3(1/2x+1) = -5`
Distribute the parenthesis.

`x - (3*1/2x+3*1)= -5`
Simplify

`x - (3/2x+3)= -5`
Add -3 to both sides.

`(x - (3/2x+3))+(-3)=(-5)+(-3)`
Simplify.

`x - (3/2x)=-2`
Find LCM.

`2/2x-(3/2x)=-2`

`-1/2x=-2`
Multiply both sides by -2.

`(-1/2x)*(-2)=(-2)*(-2)`
Simplify.

`x=4`

Now Input this constant in place of the variable x.

`2y = x + 2`

`2y = 4+2`
Add like terms.

`2y = 6`
Divide both sides by 2.

`(2y)/2 = (6)/2`
Simplify.

`y=3`

x=4 y=3

Hope this helps.
-Benjamin