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3 years ago

-5(4x - 2) = -2(3 + 6x)

Mathematics

2 answers:

a_sh-v [17]3 years ago

4 0

Answer:

x = 2

Step-by-step explanation:

Step 1 is to Distribute which is basically to multiply:

-20x + 10 = -6 -12x

Next collect like terms

So add 20x to both sides: 10 = -6 + 8x

Next add 6 to both sides: 16 = 8x

Finally divide both sides by 8 to get the value of x:

x = 2

olga nikolaevna [1]3 years ago

3 0

STEP ONE MULTIPLY: -20x+10=-6-12x
STEP TWO BRING TO OTHER SIDE: -8x+10=-6
STEP THREE CONTINUE WITH OTHER SIDE: -8x=-16
STEP FOUR DIVIDE:
x=2

ANSWER: x=2

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You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw

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Answer: Cost per pair of jeans = $ 20

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Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

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For you, total cost = x+4y+2z= 84

For your friend, total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

$x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)$

from (i), $x=84-4y-2z$ (*)

put this in (ii) and (iii) we get

$2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)$

from (iv), $y=-\frac{z-92}{7}\ (vi)$

$\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)$

$-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8$