Question

Which is different?

A) Solve 3x+6y=24 for x.
b) Solve 24−3x=6y for x.
c) Solve 6y=24−3x for y in terms of x.
d) Solve 24−6y=3x for x in terms of y.

Find “both” answers.



Y=
x=

Answer 1

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

`(3x)/(3) = (-6y)/(3) +(24)/(3)`

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

`(-3x)/(-3) =(6y)/(-3) -(24)/(-3)`

x= -2y + 8.

c) Solve 6y=24−3x for y in terms of x.

Dividing both side by 6.

`(6y)/(6) =(24)/(6)- (3x)/(6)`

y=
`-(1)/(2)x+4`

d) Solve 24−6y=3x for x in terms of y.

Dividing both sides by 3, we get

`(24)/(3) - (6y)/(3) = (3x)/(3)`

8 - 2y = x.

x = -2y +8

Therefore, x=-2x+8 and
`y=-(1)/(2)x+4.`