Question

Translate to a system of equations:

Twice a number plus three times a second number is negative one. The first number plus four times the second number is two.



Call the first number m and the second number n.

Answer 1

Twice a number plus three times a second number is negative one will be 2m + 3n = -1

The first number plus four times the second number is two will be m + 4n = 2

From the question, twice a number plus three times a second number is negative one. The first number plus four times the second number is two.

Twice a number plus three times a second number is negative one:

2m + 3n = -1

The first number plus four times the second number is two:

m + 4n = 2

These equations represent the relationships described in the problem involving the two numbers, where m is the first number, and n is the second number.