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Black_prince [1.1K]
3 years ago
10

The graph shows two lines, A and B.

Mathematics
2 answers:
Greeley [361]3 years ago
5 0

Answer: a) Only one solution.

b) (4,4)

Step-by-step explanation:

Since we have given that

Two lines A and B .

Part A: How many solutions does the pair of equations for lines A and B have?

We can see that at some point the line A is intersected by line B.

That means it has only one solution as it becomes intersecting lines.

That type of lines has unique solution i.e one solution only.

Part B: What is the solution to the equations of lines A and B?

As we can see from the graph that the lines have cut themselves at (4,4).

That means At 4 units of x -coordinate and at 4 units of y-coordinate as well.

miss Akunina [59]3 years ago
3 0
Part A: As we have learned when given a pair of equations, we must always find a Point of Intersection....or, in other words...the solution of the lines given to us. As we know there can be one solution, in this case we view the graph; see where they intersect, and realize that the solution to these lines (Point of Intersection) is at (4,4).

Thus, your answer.
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scZoUnD [109]

Answer:

  one solution is (0, -2)

Step-by-step explanation:

The line y = -x is the boundary of the solution space of the first inequality. The less-than symbol (<) tells you that the line will be dashed and the shading will be below it. The line has a slope of -1 and goes through the y-intercept point (0, 0).

The line y = x - 2 is the boundary of the solution space for the second inequality. The less-than-or-equal-to symbol (≤) tells you the line will be solid (or equal to) and the shading will be below it (less than). The line has a slope of +1 and goes through the y-intercept point (0, -2).

The area of the graph where the shadings overlap is the solution space for the system of inequalities. Any point in that area will do, including points on the solid line where y < -x. (0, -2) is one such point.

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KATRIN_1 [288]

Answer:

If 5x+12=44 then value of 5x-12 is 20

Step-by-step explanation:

5x + 12 = 44

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5x = 32

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