Question

Solve the system of equations. 5x + y = 9 3x + 2y = 4

Answer 1

Y=-5x+9

3x+2(-5x+9)=4
3x-10x+18=4
-7x=4-18
-7x=-14
x=2

5(2)+y=9
10+y=9
y=9-10
y=-1

The answer is (2,-1) :)

Answer 2

A system with 2 equations and 2 variables.

First equation we'll call it E1 and the second E2

By elimination, we can get x with E2 - 2*E1,
(3-10)x + (2-2)y = 4-2(9)
-7x = -14
x = 2

and now to get y, 5*2 + y = 9
y = 9 - 10 = -1

x = 2
y = -1
in (x, y) form its (2, -1)