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
