Question

two times a number plus three times another number equals 4. three times the first number plus four times the other number is 7. find the numbers

Answer 1

2x+3y=4
x=2-3/2y

3x+4y=7

3(2-3/2y)+4y=7
6-9/2y+4y=7
-1/2y=1
y=-2

3x+4(-2)=7
3x=15
x=5

So the two numbers are 5 and -2