Question

How do you solve the system of equations `3x + 2y = 4` and `4x + 3y = 7`?

Answer 1

`(-2, 5)`

Explanation:

`3x+2y=4`
`4x+3y=7`
Multiply the 1st and 2nd equations by 3 and -2 respectively:
`9x+6y=12`
`-8x-6y=-14` => add the equations y's cancel, solve for x:
`x=-2` => plug in the 1st equation solve for y:
`-6+2y=4`
`2y=10`
`y=5`
Hence the solution set is:
`(x, y)=(-2, 5)`