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Graph the system of equations. State the solution point.101y=--X-223y=--x+ 22

Graph the system of equations. State the solution point.101y=--X-223y=--x+ 22-example-1
User Ashwin Valento
by
3.1k points

1 Answer

24 votes
24 votes

Answer:

Solution: (4, -4)

Step-by-step explanation:

The system of equations is

y = -(1/2)x -2

y = -(3/2)x + 2

The linear equations have the form y = mx + b, so m is the number beside x and b is the constant number, so for each equation, we get:

y = -(1/2)x -2

b = -2

m = -1/2

y = -(3/2)x + 2

b = 2

m = -3/2

Then, to find the solution, we need to graph each equation, so we need to identify two points for each equation.

For y = -(1/2)x -2

If x = 0

y = (-1/2)(0) - 2 = -2

If x = 2

y = (-1/2)(2) - 2 = -1 - 2 = -3

For y = -(3/2)x + 2

If x = 0

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

If x = 2

y = (-3/2)(2) + 2 = -3 + 2 = -1

So, we will use the points (0, -2) and (2, -3) to graph y = -(1/2)x -2 and the points (0, 2) ad (2, -1) to graph y = -(3/2)x + 2. Then, the graph of the system is

Therefore, the solution of the system is (4, -4) because it is the intersection point of the lines.

Graph the system of equations. State the solution point.101y=--X-223y=--x+ 22-example-1
User Chayan Bansal
by
3.0k points
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