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Lilit [14]
3 years ago
15

How many solutions does the equation below have. *The answer choices are below*

Mathematics
2 answers:
Schach [20]3 years ago
8 0

Answer:

The answer is <u>one solution</u>

Step-by-step explanation:

1)2(b+3)-17 = 3b-7+b

2)2b+6-17 = 4b-7

3)2b-11 = 4b-7

4)-11+7 = 4b-2b

5)-4 = 2b

6)2b = -4

7)b = -4/2

Final your answer is b = -2

Natali [406]3 years ago
5 0
<h3>Answer: D) One solution</h3>

==========================================

Work Shown:

2(b+3)-17 = 3b-7+b

2b+6-17 = 4b-7

2b-11 = 4b-7

-11+7 = 4b-2b

-4 = 2b

2b = -4

b = -4/2

b = -2

There is one solution and it is b = -2

A quick way to tell we have one solution is to note that both sides are a linear expression, and that the slopes of each linear expression are different values. If you had two lines with the same slope, then you'd have either parallel lines or coinciding lines (leading to no solutions and infinitely many solutions respectively). When you have two lines with two different slopes, then they are guaranteed to intersect only once. That intersection point is the solution.

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The graph of a system of equations shows the solution to be at (-6, 2). Which two of the following equations could
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Answer:

Step-by-step explanation:

The graph shows the solution (-6,2)

i.e at x= -6 y=2

Analysis of each of the answers, since we can't write the equation of a straight line with only that information i.e the single point

Then,

Option 1

1. 2x - 3y = -6

x= -6 y=2

Then let insert x=-6 and y =2

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Since -18 ≠ -6, then this is not the equation of the line and doesn't make up the system

Option 2

2. 4x - y = 26

Inserting x=-6 and y=2

4(-6)-(2)

-24-2

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Since -26 ≠ 26, then this is not the equation of the line and doesn't make up the system

Option 3

3. 3x + 2y = -14

Inserting x=-6 and y=2

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Since -14 ≠ -14 then this is the equation of the line and it make up the system.

Option 4

x-y = -2

Inserting x=-6 and y=2

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Since -8≠ -2, then this is not the equation of the line and doesn't make up the system

Option 5

5. x+y=-4

Inserting x=-6 and y=2

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-6+2

-4

Since -4 ≠ -4, then this is the equation of the line and it makes up the system.

Then, there are two option that make up the system

3. 3x + 2y = -14

And

5. x+y=-4

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3 years ago
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