Write a system of equations to match each of these problems. Then solve the equations using the method... Substitution, or linear combinations.

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1. Dan is 4 years older than his brother Gabriel. Together their ages equal 22. How old is each boy.

5. The perimeter of a rectangle is 126 cm. The rectangle is twice as long as it is wide. What are the dimensions?

8. Theresa has 20 coins that are dimes and quarters. Together they equal $2.75. How many of each type of coin does she have?

15. The drama Club sold 421 tickets to its play for a total of $1,244. Student tickets cost $2 and adult tickets cost $5. How many of each type did the Drama Club sell?

17. The base of an isosceles triangle is one-third the length of each of the congruent sides. The perimeter of the triangle is 84 cm. How long is the base..

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1 answer

#1
d = b+4
d+b = 22

#5
w(x+y) = 126
y = 2x

#8
d+q = 20
10d+25q = 275

#15
s+a = 421
2s+5a = 1244

#17
b = s/3
b+2s = 84

Just translate each sentence into symbols.