Question

A first number plus twice a second number is 14. Twice the first number plus the second totals 13. Find the numbers.

Answer 1

Answer: The first number is 4 and the second is 5

Step-by-step explanation:

Let's say the first number is x and the second is y:

x+2y=14

2x+y=13

I'll use the linear combination method to solve this.

  2x+4y=28

-  2x+y=13

3y=15

y = 5

x = 4

Hope it helps <3

Answer 2

Answer:

y=1

x=12

Step-by-step explanation:

Let the first number be x

Let the first number be y

Given:

x+2y=14

2x+y=13

Substitution:

x=14-2y

Solution:

2x+y=13

14-2y+y=13

-2y+y=13-14

-y=-1

y=1

x=14-2y

x=14-2(1)

x=14-2

x=12

Proof:

1) x+2y=14

12+2(1)=14

12+2=14

14=14

Hope this helps ;) ❤❤❤

Let me know if there is an error in my answer