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Murljashka [212]
2 years ago
8

4. Twice the larger of two numbers is three more than five times the smaller. The sum of four times the larger and three times t

he smaller is
71. What are the numbers?
Mathematics
1 answer:
Llana [10]2 years ago
5 0

Answer:

Smaller is 5, larger is 14

Step-by-step explanation:

y is larger, x is smaller

2y = 3 + 5x

4y + 3x = 71

Let's solve for y in the first one, then substitute that into the second one.

y = 3/2 + 5/2x

4(3/2 + 5/2x) + 3x = 71

12/2 + 20/2x + 3x = 71

6 + 10x + 3x = 71

13x = 65

x = 5

Substitute that in to the first equation:

2y = 3 + 5(5)

2y = 3 + 25

2y = 28

y = 14

check those answers in the second equation

4y + 3x = 71

4(14) + 3(5)

= 56 + 15 =71

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