How do you solve 5x + 4y = 2 and 3x - 4y = 14?

1 Answer
Aug 2, 2015

The solution for the system of equations is
color(blue)(x=2,y=-2

Explanation:

Upon adding the two equations we can eliminate color(blue)(4y)

5x+color(blue)(cancel4y)=2 .....equation (1)
3x−color(blue)(cancel4y)=14 .....equation (2)

8x=16
color(blue)(x=2

Substituting the value of x in the first equation to find y
5x+4y=2

5 * (2)+4y=2

10 +4y=2

4y=-8
color(blue)(y=-2