Question

Help me understand please ;-;

Answer 1

Standard form for first one is
ax+by=c

6y-12=-3x
add 3x both sides
3x+6y-12=0
add 12
3x+6y=12


second one
distribute (don't forget double negative y)
10-2x+2y=3x+1
minus 3x both sides
10-5x+2y=1
minus 10 both sides
-5x+2y=-9



the equations are
3x+6y=12
-5x+2y=-9

Answer 2

The standad form of linear equation is of the form Ax + By = C, where A, B and C are integers.
Here, the standard form of the eduation 6y - 12 = -3x is 3x + 6y = 12