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Directions: Graph each system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it—-NEED the intersection point (x,y).

Directions Graph each system of equations Then determine whether the system has no solution one solution or infinitely many solutions If the system has one solu class=

Respuesta :

Answer:

One solution: (-3, -1)

Explanation:

First, we need to graph the lines, so we need to identify two points on each line. So, we need to give values to the variable x and calculate the value of y.

For y = (4/3)x + 3, we get:

If x = 3, then:

y = (4/3)(3) + 3 = 4 + 3 = 7

If x = 0, then:

y = (4/3)(0) + 3 = 0 + 3 = 3

For y = (-2/3)x - 3, we get:

If x = 3, then:

y = (-2/3)(3) - 3 = -2 - 3 = -5

If x = 0, then:

y = (-2/3)(0) - 3 = 0 - 3 = -3

So, we have the points (3, 7) and (0, 3) for the first equation and the points (3, -5) and (0, -3) for the second equation. Therefore, the graph of the lines is:

Therefore, the system has one solution and the solution of the system is the intersection point (-3, -1).

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