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Black_prince [1.1K]
4 years ago
10

The graph shows two lines, A and B.

Mathematics
2 answers:
Greeley [361]4 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]4 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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alina1380 [7]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
An equation is shown below. 12 – 6(w – 3) = 3(– 5 – 3w) + 21 Enter the solution of w for this equation.
gogolik [260]
<span>Simplifying
12 + -6(w + -3) = 3(-5 + -3w) + 21

Reorder the terms:
12 + -6(-3 + w) = 3(-5 + -3w) + 21
12 + (-3 * -6 + w * -6) = 3(-5 + -3w) + 21
12 + (18 + -6w) = 3(-5 + -3w) + 21

Combine like terms: 12 + 18 = 30
30 + -6w = 3(-5 + -3w) + 21
30 + -6w = (-5 * 3 + -3w * 3) + 21
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Reorder the terms:
30 + -6w = -15 + 21 + -9w

Combine like terms: -15 + 21 = 6
30 + -6w = 6 + -9w

Solving
30 + -6w = 6 + -9w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '9w' to each side of the equation.
30 + -6w + 9w = 6 + -9w + 9w

Combine like terms: -6w + 9w = 3w
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Combine like terms: -9w + 9w = 0
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Add '-30' to each side of the equation.
30 + -30 + 3w = 6 + -30

Combine like terms: 30 + -30 = 0
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Combine like terms: 6 + -30 = -24
3w = -24

Divide each side by '3'.
w = -8

Simplifying
w = -8</span>
5 0
4 years ago
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Ilya [14]

Answer:

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Step-by-step explanation:

4x +15 =71

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x=56 :4

x=14

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7 0
3 years ago
Read 2 more answers
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melisa1 [442]

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Step-by-step explanation:

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Scrat [10]

Answer:

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Step-by-step explanation:

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