1. 12y – 12 = 60x
1. Add 12 to both sides:
12y - 12 + 12 = 60x + 12
12y + 0 = 60x +12
12y = 60x + 12
2. Divide everything by 12:
12y/12 = 60x/12 + 12/12
y = 5x + 1
2. 3x + y = 10
Subtract 3x from both sides:
3x + y - 3x = 10 - 3x
0 + y = 10 - 3x
y = 10 - 3x
3. x – y = 6
1. Subtract x from both sides:
x - y -x = 6 - x
0 - y = 6 - x
-y = 6 + -1x
2. Place a 1 in front of y:
-1y = 6 + -1x
3. Divide everything by -1:
-1y/-1 = 6/-1 + -1x/-1
y = -6 + 1x
4. y + 2x = 5
Subtract 2x from both sides:
y + 2x - 2x = 5 - 2x
y + 0 = 5 -2x
y = 5 - 2x
5. 6x + 25y = 150
1. Subtract 6x from both sides:
6x + 25y - 6x = 150 - 6x
0 + 25y = 150 - 6x
25y = 150 - 6x
2. Change the -6x to + -6x:
25y = 150 + -6x
3. Divide everything by 25:
25y/25 = 150/25 + -6x/25
y = 6 + -6x/25
6. 96x + 30y = 64
1. Subtract 96x from both sides:
96x + 30y - 96x = 64 - 96x
0 + 30y = 64 - 96x
30y = 64 - 96x
2. Change the -96 to +-96:
30y = 64 + -96x
3. Divide everything by 30:
30y/30 = 64/30 + -96x/30
y = 32/15 + -16x/5