Question

Consider the system of equations:

2x - 3y = 7
x + 4y = 9

What is the solution to the system?

( use elimination or substitution )

Answer 1

The answer about the 2x- 3y=7
X=y5 maybe

Answer 2

(x, y) = (5, 1)

Explanation:

To eliminate x, you can double the second equation and subtract the first.

... 2(x +4y) -(2x -3y) = 2(9) -(7)

...11y = 11 . . . . . simplify

... y = 1 . . . . . . divide by 11

Using the second equation to find x, we have ...

... x + 4·1 = 9

... x = 5 . . . . . subtract 4

_____

Check

2·5 -3·1 = 10 -3 = 7 . . . . agrees with the first equation

(Since we used the second equation to find x, we know it will check.)