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emmasim [6.3K]
4 years ago
14

What is the general process for solving an equation with one variable?

Mathematics
1 answer:
elena55 [62]4 years ago
5 0
Greetings!

"<span>What is the general process for solving an equation with one variable?"...

Typically when solving an equation with one variable, your objective is to isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.

Example:
</span>2x+4=64
<span>Add -4 to both sides to isolate the variable.
</span>(2x+4)+(-4)=(64)+(-4)<span>
Simplify.
</span>2x=60
Divide both sides by 2 to isolate the variable on one side.
(2x)/2=(60)/2
x=30

Hope this helps.
-Benjamin
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Help please explain in detail
yaroslaw [1]

Answer:

1. (n + 3)(5n + 8)

2. (x - 4)(7x - 4)

3. (k + 8)(7k + 1)

Step-by-step explanation:

1. We have to factorize 5n² + 23n + 24.

Now, 5n² + 23n + 24

= 5n² + 15n + 8n + 24

= 5n (n + 3) + 8 (n + 3)

=(n + 3)(5n + 8) (Answer)

2. We have to factorize 7x² - 32x + 16

Now,  7x² - 32x + 16

= 7x² - 28x - 4x + 16

= 7x (x - 4) - 4 (x - 4)

= (x - 4)(7x - 4) (Answer)

3. We have to factorize 7k² + 57k + 8

Now, 7k² + 57k + 8

= 7k² + 56k + k + 8

= 7k (k + 8) + 1 (k + 8)

= (k + 8)(7k + 1) (Answer)

4 0
3 years ago
Complete the solution of the equation . Find the value of y when x equals 15.
Dvinal [7]
The answer is. y= -6
4 0
3 years ago
I’ve been stuck on this for a min now
dedylja [7]

Answer:

3/14

Step-by-step explanation:

1st subtract the y's

the subtract the x's in the same order

-9 - 5 = -14

put the first result over the second

-3/-14 = 3/14

4 0
3 years ago
Please i need help asapl
Marizza181 [45]

Answer:

Ella should not have included 5 in absolute value portion of the equation

Step-by-step explanation:

Because -1 is a negative number in order to find the true distance between A and B you have to make it positive.

But, because Ella included 5 in the absolute value portion of the equation it messed up the answer.

7 0
4 years ago
Help? Very confused on question 8.
Fynjy0 [20]
For part a: you just need to find how far the vertex has been moved from the origin, or the point (0,0). As the vertex is at the point (2,-3), it has been translated right 2 horizontally and down 3 vertically.

For part b: you use the info found in part a to create the equation in the form of y=A(x-h)^2+k. In this case, A =1, so you can ignore it. The h value is the horizontal distance the vertex has been moved. Since it has been moved right 2, this part of the equation would be (x-2). I know it seems like it should be plus 2, but values in parentheses come out opposite. For the k value, find the vertical shift, which is down3, or -3.
Now that you have h and k, substitute them back into the equation.
Your final answer for part b is: y=(x-2)^2 -3.
4 0
3 years ago
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