Question

ASAP! Plz!!!!

The equations x -2 y = 1, 3 x - y = -1, x + 2 y = -1, and 3 x + y = 1 are shown on the graph below.



⊕image below!



Which system of equations has a solution of approximately (0.6, –0.8)?
x + 2 y = - 1 and 3 x + y = 1
x - 2 y = 1 and 3 x + y = 1
x -2 y = 1 and 3 x -y = -1
x + 2 y = - 1 and 3 x-y = -1

Answer 1

x + 2 y = - 1 and 3 x + y = 1

Explanation:

Answer 2

x + 2 y = - 1 and 3 x + y = 1

Explanation:

See the graph attached.

From this graph, it is clear that the green line and the Purple line intersect each other at an approximate point (0.6, -0.8).

Now, the green line passes through the x-intercept (-1,0) and y-intercept (0,-0.5).

Therefore, the equation of the green line will be
`(x)/(- 1) + (y)/(- 0.5) = 1`

⇒ x + 2y = - 1

Therefore, the first combination or the fourth combination will be the answer.

Again, the purple line passes through the point (0,1) and has a negative slope.

So, the equation of purple line will be 3x + y = 1 {Since it has negative slope}

Therefore, the first combination will be the answer.