The difference of two numbers is -1.If twice the first number is added to three times the second number,the result is 13.What are the numbers?

Question

Algebra

Worder problem using 2 unknowns and a system of 2 equations

Answer 1

n - m = -1

2n + 3m = 13

I suggest use of substitution. The first equation gives

n = m - 1

Plug this into the second equation and solve for m.

2(m - 1) + 3m = 13

5m = 15

m = 3

n = m - 1 = 3 - 1 = 2

Test the solution.