Question

three times a number plus three times a second number is fifteen. Four times the first plus twice the second number is fourteen. Find the numbers.

Answer 1

{3m+3n=15

4m+2n=14

Explanation:

Answer 2

9514 1404 393

Answer:

2 and 3

Explanation:

Let x and y represent the first and second numbers, respectively.

3x +3y = 15

4x +2y = 14

Dividing the equations by common factors, we can rewrite them to standard form:

x + y = 5

2x + y = 7

Subtracting the first equation from the second gives ...

(2x +y) -(x +y) = (7) -(5)

x = 2

Using either equation to find y, we have also ...

y = 3

The two numbers are 2 and 3.