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
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<u>The even number I picked was 6, here is why it is an even number.</u>
<em>You can put each in even groups, without having one group be more or less then the other, if I picked an odd number like 7, one group would had more, and the other 2 groups would have less. </em>
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<em>Hope this helped, have a great day!</em>
4:20 and 1:5 are equivalent to 2:10
Answer:
W = 8 feet
Step-by-step explanation:
The rug is rectangular in shape.
Area of a rectangle = Length x Breadth
Given
Area = 104 square feet
length = 13
Therefore
104 = 13 x w
Divide both sides by 13
104/13 = 13/13 x w
8 = w
W = 8 feet
The rug is 8 feet wide
Answer: B.
Step-by-step explanation: Negatives are smaller than positive numbers
