Question

A system of equations is created by using the line represented by 2x+4y = 0 and the line represented by the data in table below.What is the x-value of the solution to the system?​

Answer 1

Answer:

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scme1702

In both questions, we form the equations of both lines.

1)

Line 1:

slope = (6-7)/(0+2) = -1/2

y-int = 6

y = (-1/2)x + 6

Line 2:

slope = (-3-0)/(0-3) = 1

y-int = -3

y = x -3

The equations are not dependent because one cannot be formed from the other by multiplying by a constant; neither are they parallel. Therefore, the answer is B, exactly one.

2)

Line 1:

slope = (4-3)/(-2+4) = 1/2

4 = (1/2)(-2) + c

y-int = 5

y = (1/2)x + 5

Line 2:

Slope = (6-8)/(2-0) = -1

y-int = 8

y = -x + 8

The equations are independent and not parllel so the answer is B, exactly 1 solution.

Step-by-step explanation:

Answer 2

Answer:

2x+4y=0

Find the x-intercepts.

x-intercept(s):

(0,0)

Find the y-intercepts.

y-intercept(s):

(0,0)

List the intersections.

x-intercept(s):

(0,0)

y-intercept(s):

(0,0)

Step-by-step explanation:

Hope it is helpful.....