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scoundrel [369]
3 years ago
7

How many solutions does an equation have when you isolate the variable and it equals a constant?

Mathematics
1 answer:
OLEGan [10]3 years ago
3 0

1 solution is available when variable equals a constant.

Answer: Option B.

<u>Explanation:</u>

You will be able to determine if an equation has one solution (which is when one variable equals one number), or if it has no solution (the two sides of the equation are not equal to each other) or infinite solutions (the two sides of the equation are identical).

The ordered pair that is the solution of both equations is the solution of the system. A system of two linear equations can have one solution, an infinite number of solutions, or no solution. If a consistent system has exactly one solution, it is independent.

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Step-by-step explanation:

number2 the answer is a and

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HURRRY PLEASE ANSWER I ONLY HAVE 5 MINN which expressions are equivalent to - 72 + (-6.5) + 2.5z + 4y - 1.5
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Step-by-step explanation:

8 0
3 years ago
Solve the system of equations y = 2x + 3 and 4x - 2y = -6 using a graphical method.
emmasim [6.3K]

Answer:

-1

Step-by-step explanation:

You are asked to solve this set by substitution. Note that the first equation defines

the value of y in terms of x. Therefore, you can use the right side of this equation

(2x + 3) as a substitution for y in the second equation. When you substitute 2x +3 for y

in the second equation, the result is:

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2x + 3 = 4x + 7

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Let's set the goal of getting all the terms that contain x isolated on the left side of

the equal sign and all the constants by themselves on the right side. Begin by getting rid

of the +3 on the left side by subtracting 3 from the left side. But if you subtract

3 from the left side you must also subtract 3 from the right side. These subtractions

result in the following sequence:

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2x + 3 - 3 = 4x + 7 - 3

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Combining numbers on the left side and on the right side simplifies the equation to:

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2x = 4x + 4

.

Now, in a similar fashion, let's get rid of the 4x on the right side by subtracting

4x from the right side. When we do this subtraction, to keep the equation in balance

we must also subtract 4x from the left side. This results in:

.

 

2x - 4x = 4x - 4x + 4

.

On both sides of the equation combine terms containing x to get:

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-2x = 4

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Finally, solve for x by dividing both sides of the equation by -2 because -2 is the multiplier

of x. This results in:

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x = 4/-2 = -2

.

So now that we know x = -2, we can return to either one of the original equations  

in the equation set and substitute -2 for x. Then we can solve for y. Let's return

to the first equation and substitute -2 for x. This begins with:

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y = 2x + 3

.

Then substituting -2 for x gives:

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y = 2*(-2) + 3 = -4 + 3 = -1

7 0
3 years ago
Just look at the picture it doesn’t have words
dimulka [17.4K]

Answer: c 6

Step-by-step explanation:

3 2/3 +2.3...

2.3....=2 1/3

3 2/3 + 2 1/3= 5 3/2

=6

7 0
3 years ago
The Recreation Center has an L-shaped pool. One pool is 8 meters by 6 meters. The other part is 12 meters by 6 meters. The whole
defon

Answer:

480m³

Step-by-step explanation:

The entire pool have the same depth which is 4metres

Since the pool is L shaped, we will find the volume of each part and add them together to get the volume of the entire pool.

Using the formula for calculating volume of a rectangular box

V = lwh

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w is the width

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For the first pool.

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Height = 4m (depth)

Volume = 8×6×4

Volume = 192m³

For the other pool.

Length = 12m

Width = 6m

Height = 4m (depth)

Volume = 12×6×4

Volume = 288m³

Volume of the entire pool = 192+288 = 480m³

6 0
3 years ago
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