Question

Solve the system of linear equations below.

2x + 3y = 2
x + 6y = 4

Answer 1

Step 1: Distribute

`2(2x+3y=2)`

`x+6y=4`

Step 2: Rewrite

`4x+6y=4`

`x+6y=4`

Step 3: Solve

`5x/5=0/5`

`x=0`

Step 4: Replace back into original first equation

`0+6y=4`
or
`6y=4`

Step 5: Solve

`6y/6=4/6`

`y= (2)/(3)`

Your answer is
`(0, (2)/(3))`