Question

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

Answer 1

Answer:

1) w= -3

2)3x+30

3)No solutions

Step-by-step 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

$\\ \sf\bull\longmapsto q+\dfrac{1}{2}=q-\dfrac{1}{3}$

• It has no solutions

$\\ \sf\bull\longmapsto q=\infty$