Question

The graph represents this system of equations:

2x + y = 3
2x - 5y = 15
What is the solution to the system of equations
represented by the graph?
(0, -3)
(1,1)
(1.5,0)
(2.5, -2)

Answer 1

(2.5, - 2)

Explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines, that is

(2.5, - 2 ) ← point of intersection

Answer 2

Option D is the correct answer.

Explanation:

Refer the given figure showing the graph.

We can see the point of intersection is (2.5, -2).

Option D is the correct answer.

Alternatively:

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

2x - 5y = 15 ---------------------eqn 2

eqn1 - eqn 2 gives

2x + y - ( 2x - 5y) = 3 - 15

6y = -12

y = -2

Substituting in eqn 1

2x - 2 = 3

x = 2.5

Point of intersection is (2.5, -2).

Option D is the correct answer.