A) Solve 3x+6y=24 for x.
Subtracting 6y from both sides, we get
3x+6y-6y=24-6y
3x = -6y+24
Dividing both sides by 3, we get
[tex]\frac{3x}{3} = \frac{-6y}{3} +\frac{24}{3}[/tex]
x= -2y + 8
b) Solve 24−3x=6y for x.
Subtracting 24 from both sides, we get
24-24−3x=6y-24
-3x = 6y -24.
Dividing both sides by -3, we get
[tex]\frac{-3x}{-3} =\frac{6y}{-3} -\frac{24}{-3}[/tex]
x= -2y + 8.
c) Solve 6y=24−3x for y in terms of x.
Dividing both side by 6.
[tex]\frac{6y}{6} =\frac{24}{6}- \frac{3x}{6}[/tex]
y= [tex]-\frac{1}{2}x+4[/tex]
d) Solve 24−6y=3x for x in terms of y.
Dividing both sides by 3, we get
[tex]\frac{24}{3} - \frac{6y}{3} = \frac{3x}{3}[/tex]
8 - 2y = x.
x = -2y +8
