Question

Choose the system of equations that matches the following graph:

1-6
5
4
3
V
x - 2y = -10
3x - y = 12
//
©x+2y=-10
3x + y = 12
Ox-2y =-10
3x + y = 12
.

Answer 1

It's the first one. I just took the test. Sorry if you wanted an explanation but I don't understand how to do this either.

Answer 2

3x - y = 12 and x + 2y = - 10

Explanation:

The first straight line passes through the points (2,-6) and (4,0).

Therefore, the equation of the straight line from two point form

`(y - 0)/(0 - (- 6)) = (x - 4)/(4 - 2)`

⇒ y = 3(x - 4) = 3x - 12

⇒ 3x - y = 12 .......... (1)

Again, the second straight line passes through the points (2,-6) and (0,-5).

Therefore, the equation of this straight line will be

`(y - (- 5))/(- 5 - (- 6)) = (x - 0)/(0 - 2)`

⇒ - 2(y + 5) = x

⇒ x + 2y = - 10 ......... (1)

Therefore, (1) and (2) are the system of equations. (Answer)