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vichka [17]
3 years ago
10

a first number plus twice a second number is 7 twice the first number plus the second totals 29 find the numbers​

Mathematics
1 answer:
nataly862011 [7]3 years ago
6 0

The numbers are 17 and -5

Step-by-step explanation:

The given is:

  • A first number plus twice a second number is 7
  • Twice the first number plus the second totals 29

We need to find the 2 numbers

Assume that the 1st number is x and the 2nd number is y

∵ x represents the 1st number

∵ y represents the 2nd number

∵ The first number plus twice the second number is 7

∴ x + 2y = 7 ⇒ (1)

∵ Twice the first number plus the second totals 29

∴ 2x + y = 29 ⇒ (2)

Now we have system of equations to solve it

Multiply equation (1) by -2 to eliminate x

∴ -2x - 4y = -14 ⇒ (3)

- Add equations (2) and (3)

∴ -3y = 15

- Divide both sides by -3

∴ y = -5

Substitute the value of y in equation (20 to find the value of x

∵ x + 2(-5) = 7

∴ x - 10 = 7

- Add 10 to both sides

∴ x = 17

The numbers are 17 and -5

Learn more:

You can learn more about the system of equation in brainly.com/question/2115716

#LearnwithBrainly

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