Step-by-step explanation:So we know x + y = 21 and 5x +10y = 165 We line them up in columns x + y = 21 5x +10y = 165 To eliminate the x variable, I'll multiply every element in the 1st equation by -5. -5x + -5y = -105 5x + 10y = 165 Now we combine (add) the equations, which eliminates x altogether. 5y = 60 ... y = 12 From there, x + 12 = 21 ... x = 21-12 ... x = 9 You should double check. Do 9 nickles and 12 dimes equal $1.65? A very important thing to remember using this method is to do the same thing to each element in the equation that you change! I hope that helps.

4 0

2 years ago

There are fifty people standing in the concession line at the movies. Two fifths of them, want to purchase popcorn. One half of

svlad2 [7]

I think the answer is B. 20 people

3 0

3 years ago

Read 2 more answers

Solve the equation, if possible.<br> 1. 2x + 2(4x - 2) + 3x = x + 3(x – 8) + 4x

MAXImum [283]

Answer:

x=-4

Step-by-step explanation:

Distribute and expand everything in brackets.

2x+2*4x+2*-2+3x=x+3*x+3*-8+4x

2x+8x-4+3x=x+3x-24+4x

Solve like terms

13x-4=8x-24

Place like terms on same side.

13x-8x=-24+4

Solve for x

5x=-20

x=-4

5 0

3 years ago