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
$6y/6=4/6$
$y= \frac{2}{3}$

Your answer is $(0, \frac{2}{3})$