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2 years ago

What is the ultimate goal when solving equations? What do you want your final answer to look like?

Mathematics

1 answer:

STALIN [3.7K]2 years ago

5 0

Answer:

$\huge\boxed{\text{To get x on one side of the equation:} \ \ x = ...}$

Step-by-step explanation:

When we solve for an equation, our goal is to find the value of the variable. Any variable can be used, but for the time being let’s assume we use $x$ .

We can algebraeically solve equations until we get the value of x - in which we will have x equal to something.

Say we have the equation $5x+5=20$ . Our goal is to find the value of $x$ . <u>We can do this by getting x isolated on one side so we have something equal to x</u>.

We can subtract 5 from both sides and divide both sides by 5.

$5x=15\\\\x=3$

We now know the value of $x$ since it’s on one side of the equation.

Hope this helped!

You might be interested in

given the recursive formula for a geometric sequence find the common ratio the 8th term and the explicit formula.did I set these

lesya [120]

Answer:

Step-by-step explanation:

1)Since we know that recursive formula of the geometric sequence is

$a_{n}=a_{n-1}*r$

so comparing it with the given recursive formula $a_{n}=a_{n-1}*-4$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=-2*(-4)^{7} =32768.$

Explicit Formula = $-2*(-4)^{n-1}$

2) Comparing the given recursive formula $a_{n}=a_{n-1}*-2$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-2

8th term= $a_{1}*(r)^{n-1}=-4*(-2)^{7} =512.$

Explicit Formula = $-4*(-2)^{n-1}$

3)Comparing the given recursive formula $a_{n}=a_{n-1}*3$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =3

8th term= $a_{1}*(r)^{n-1}=-1*(3)^{7} =-2187.$

Explicit Formula = $-1*(3)^{n-1}$

4)Comparing the given recursive formula $a_{n}=a_{n-1}*-4$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=3*(-4)^{7} =-49152.$

Explicit Formula = $3*(-4)^{n-1}$

5)Comparing the given recursive formula $a_{n}=a_{n-1}*-4$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=-4*(-4)^{7} =65536.$

Explicit Formula = $-4*(-4)^{n-1}$

6)Comparing the given recursive formula $a_{n}=a_{n-1}*-2$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-2

8th term= $a_{1}*(r)^{n-1}=3*(-2)^{7} =-384.$

Explicit Formula = $3*(-2)^{n-1}$

7)Comparing the given recursive formula $a_{n}=a_{n-1}*-5$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-5

8th term= $a_{1}*(r)^{n-1}=4*(-5)^{7} =-312500.$

Explicit Formula = $4*(-5)^{n-1}$

8)Comparing the given recursive formula $a_{n}=a_{n-1}*-5$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-5

8th term= $a_{1}*(r)^{n-1}=2*(-5)^{7} =-156250.$

Explicit Formula = $2*(-5)^{n-1}$

6 0

3 years ago

5x + 6(x - 2) - 8 (x - 3)

Alex Ar [27]

Answer:

The value of $x=-4$ . The figure is also attached below.

Step-by-step explanation:

Considering the expression

$5x + 6(x - 2) - 8 (x - 3)$

If we have to find the vale of $x$ , then

$5x + 6(x - 2) - 8 (x - 3)=0$

$5x+6x-12-8\left(x-3\right)=0$

$5x+6x-12-8x+24=0$

$3x+12=0$

$\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}$

$3x+12-12=0-12$

$3x=-12$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3x}{3}=\frac{-12}{3}$

$x=-4$

Therefore, the value of $x=-4$ . The figure is also attached below.

Keywords: equation

Learn more about equation solution from brainly.com/question/13678520

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5 0

3 years ago

A store is having a sale where winter clothes are 60% of the original price. A sweater is on sale for $30. What is the original

Thepotemich [5.8K]

Answer:$50

Step-by-step explanation:

So we have the sweater that’s $30 with a sale of 60% of the original price.

That means $30=60% of the original

30=60%start with this

5=10% divide 6 by both sides to get 10%

50=100% times by 10 to get 100%, which is the original price.

So the original price of this sweater is $50

4 0

3 years ago

Read 2 more answers

I need help 12 POINTS!!! show work plase

Nesterboy [21]

okay so you have 1/4 and 5 1/2

make 5 1/2 a improper fraction

so you now have 1/4 and 11/2

now do $\frac{1}{4} x\frac{11}{2}$

$\frac{1}{4} x\frac{11}{2} = \frac{11}{8} = 1.375$

I hope this helps you

I feel bad study island is the worst!

3 0

2 years ago

Read 2 more answers

Someone please help me with my homework

spin [16.1K]

Answer:
20700 feet per hour

Explanation:
Convert 345 feet per minute to 345 feet per hour.
First find how many minutes are in an hour:
60 minutes = 1 hour.
1 minute • 60 = 1 hour
345 feet • 60 = 20700 feet per hour.

3 0

3 years ago