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

`\\ \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`

Answer 2

1)

• 6w -33 = 3(4w - 5)
• 6w - 33 = 12w - 15
• 12w - 6w = 15 - 33
• 6w = -18
• w = -18/6
• w = -3

2)

• 6(x + 5) = 3x
• 6x + 30 = 3x
• 6x - 3x = -30
• 3x = -30
• x = -30/3
• x = -10

3)

• (q + 1)/2 = (q - 1)/3
• 3(q + 1) = 2(q - 1)
• 3q + 3 = 2q - 2
• 3q - 2q = -2 - 3
• q = -5