Question

Solve each euqation.
1.) 6w-33=3(4w-5)
2.) 6(x+5)-3x
3.) q+1/2=q-1/3

Answer 1

1) w= -3

2)3x+30

3)No solutions

Explanation:

1)6w-33=3(4w-5)

Distribute:

6w-33=12w-15

Subtract 12w from each side:

-6w-33=-15

Add 33 to each side:

-6w=18

Divide each side by -6:

w=-3

2) 6(x+5)-3x

Distribute:

6x+30-3x

Combine like terms:

3x+30

3)q+1/2=q-1/3

There are no solutions because no matter what value you use for q, the equations are never equal

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These are your answers

Hope this helps!

Answer 2

#1

`\\ \sf\bull\longmapsto 6w-33=3(4w-5)`

`\\ \sf\bull\longmapsto 6w-33=12w-15`

`\\ \sf\bull\longmapsto 6w-12w=-15+33`

`\\ \sf\bull\longmapsto -6w=18`

`\\ \sf\bull\longmapsto w=-3`

#2

`\\ \sf\bull\longmapsto 6(x+5)=3x`

`\\ \sf\bull\longmapsto 6x+30=3x`

`\\ \sf\bull\longmapsto 3x=30`

`\\ \sf\bull\longmapsto x=10`

#3

`\\ \sf\bull\longmapsto q+(1)/(2)=q-(1)/(3)`

• It has no solutions

`\\ \sf\bull\longmapsto q=\infty`