the sum of four times the first number and three times the second number is 15. the difference of three times the first number a

Question

Karo-lina-s [1.5K]

3 years ago

11

the sum of four times the first number and three times the second number is 15. the difference of three times the first number a

nd twice the second number is 7 . find the numbers

Mathematics

1 answer:

Nana76 [90] · Answer 1 · 2022-06-12T12:32:49+03:00

Hey there!

Let's create a systems of equations using x and y.

4x+3y=15

3x-2y=7

We need to solve this using elimination. First, we need to multiply the first equation by 2/3 so that we can cancel out the y's when combining our equations.

2 2/3x+2y=10

3x-2y=7

Now we combine the equations...

5 2/3x=17

x=3

Now we can plug our x into the first equation to find y.

12+3y=15

y=1

Our numbers are 3 and 1.

I hope this helps!