How do solve the following linear system?: -6x-2y=-8 , 3x – 4y = 7 ?

1 Answer
Apr 26, 2016

The solution for the system of equations is:
color(blue)(x = 23/(15)

color(blue)(y = -3/5

Explanation:

color(green)(- 6x) - 2y = - 8 ......equation (1)

3x - 4y = 7, multiplying by 2
color(green)(6x) - 8y = 14...............equation (2)

Solving by elimination:

Adding equations 1 and 2 eliminates color(green)(6x.

cancelcolor(green)(- 6x) - 2y = - 8
cancelcolor(green)(6x) - 8y = 14

-10y = 6

y = - 6/10

color(blue)(y = -3/5

Finding x from equation 2:
3x - 4y = 7

3x = 7 + 4y

3x = 7 + 4 * color(blue)((-3/5)

3x = 7 - 12/5

3x = 35/5 - 12/5

3x = 23/5

x = 23/(5 * 3)

color(blue)(x = 23/(15)