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miskamm [114]
3 years ago
15

-2x - 4 (-6x + 14) = 76 What is X?

Mathematics
1 answer:
konstantin123 [22]3 years ago
5 0
Hello,
First, we distribute the -4 to -6x + 14 to get a resulting expression of 24x - 56. Now, our total equation is -2x + 24x - 56 = 76. Next, we combine like terms on the left side of the equation, and that results in 22x - 56 = 76. Now, we add 56 to both sides to get 22x = 132. Finally, we divide both sides by 22 to get x = 6. Therefore, the value of x is 6. Hope this helps and have a great day!
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The cost of a senior citizen ticket is $15 and the cost of a student ticket is $12.

How did I get this?
We know that 6 citizen tickets and 7 student stickers sold for $174 the first day. And 10 citizen tickets and 14 student tickets sold for $318 the second day.

1. create two equations out of this: C= citizen cost per ticket and S = student cost per ticket.

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10C + 14S = $318

2. Use process of elimination. Multiply the first equation by 2 because we want two variables to cancel out.

-12C - 14S = -$348
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Combine like terms.

-2C = $30
Divide by -2 on both sides. The left side cancels out.

C = $30/-2
C = -$15 (In this case the negative doesn't matter)

C = $15 (cost of senior citizen ticket)

Plug the value of C into any of the two equations so we can get the value of S.

6($15) + 7S = $174
Distribute the 6 into the parenthesis.

$90 + 7S = $174
Subtract both sides by $90 and the left side will cancel out.

7S = $84
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S = $12

Student ticket: $12
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