Question

One number is five less than a second number. Twice the first is 6 more than 6 times the second. Find the numbers.

Answer 1

Answer:

The first number is −13 and the second number is −6

Step-by-step explanation:

The first number is −13 and the second number is −6

Explanation:

Let's let the first number be n and the second number be called m.

Then, from the first sentence we can write:

n = m − 7

and from the second sentence we can write:

2n = 6m + 10

Substitute m − 7 for n in the second equation and solve for m:

2(m − 7) = 6m + 10

2m − 14 = 6m + 10

2m − 14 − 2m − 10 = 6m + 10 − 2m − 10

−14 −10 = 6m −2m

−24 = 4m

-24/4 = 4m/4

m= −6

Now substitute −6 for m in the first equation and calculate n:

n = −6 −7

n = -13