Question

the difference of two numbers is 2.7 times of smaller and 5 times.larger are equal. find the numbers​

Answer 1

The solution to the system of equations is m = 7 and n = 5.

Explanation:

m-n=2

5m = 7n

From the second equation, we can isolate one of the variables in terms of the other. We can divide both sides by 7 to get:

m = (7/5)n

Now we can substitute this expression for m into the first equation and solve for n:

m - n = 2

(7/5)n - n = 2

(7/5 - 1)n = 2

(2/5)n = 2

n = 5

Now that we have found n, we can substitute this value into the expression we found for m:

m = (7/5)n

m = (7/5)(5)

m = 7

Therefore, the solution to the system of equations is m = 7 and n = 5.