Question

Sylvie finds the solution to the system of equations by graphing.

y = A system of equations. y=2/3 x+1 and y=- 2/3x-1

Which graph shows the solution to Sylvie’s system of equations?

Answer 1

C

Explanation:

From the graph, it is clear that both lines intersect

at x=0 and y=2/3 or (0.667)

Therefore, the solution is: (x, y) = (0, 2/3) or (0, 0.667)

Explanation:

Given the system of equations

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

GRAH AND POINT OF INTERSECTION (SOLUTION)

The solution graph is attached below.

From the attached solution graph,

The red line is representing the equation y=2/3x+1

The blue line is representing the equation y = -2/3 x-1

From the graph, it is clear that both lines intersect

at x=0 and y=2/3 or (0.667)

Thus, the point of intersection is (x, y) = (0, 2/3) or (0, 0.667)

Therefore, the solution is: (x, y) = (0, 2/3) or (0, 0.667)