Question

A system of linear equations is graphed.

Which ordered pair is the best estimate for the solution to the system?




(0, −6.5)

(2, −6.5)

(2.5, −6.5)

(−1.5, 0)

Answer 1

Check the intersection point where both lines meet at.

• y lies somehow between -6 and -7 .
• So it's approximately equal to -6.5.
• x is equal to 2

So the co-ordinates are

• (x,y)=(2,-6.5)

Answer 2

(2, −6.5), from the graph, point out the coordinates where both lines intersect each other. That is the solution for both the lines. Here the lines cut at x : 2 and y : -6.5. Therefore (2, −6.5) is the best estimate for the solution to the system.