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The graph shows two lines, A and B: A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 3, 0 and the ordered pair 0, 6. Another straight line labeled B joins the ordered pair 0, 0 and the ordered pair 5, 5. Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?

Respuesta :

mayabawesome1

Answer:(4,4)

Step-by-step explanation:

one solution because the lines intersect at exactly one set of points.

(0,6)(6,3)

slope(m) = (3-6) / (6-0) = -3/6 = -1/2

y = mx + b

6 = -1/2(0) + b

6 = b

y = -1/2x + 6

(0,0)(6,6)

slope(m) = (6-0) / (6-0) = 6/6 = 1

y = mx + b

6 = 1(6) + b

6 = 6 + b

6 - 6 = b

0 = b

y = x + 0

x = -1/2x + 6

1/2x + x = 6

1/2x + 2/2x = 6

3/2x = 6

x = 6/(3/2)

x = 6 * 2/3

x = 12/3 = 4

llol43912

Answer:

the answer is (2, 2) is the solution to both lines A and B.  Hope this helps :)

Step-by-step explanation: