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3 years ago

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

Mathematics

2 answers:

strojnjashka [21]3 years ago

8 0

Answer:

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

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

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

Len [333]3 years ago

3 0

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

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

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

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

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

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

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

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

$\\ \sf\bull\longmapsto x=10$

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

It has no solutions

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

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