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4 years ago

12

I want to know how to solve multi step equation

2 answers:

viva [34]4 years ago

6 0

When solving multi-step equation you should start by combining like terms.

4x + 10 = 7x + 16

With this equation you can subtract 4x from each side. -4x = -4x

10 = 3x + 16

Then you can combine 16 and 10 by subtracting 16 from each side. -16 = -16

-6 = 3x

After that you try and isolate the variable. You can do this by dividing both sides by 3 which also isolates the variable. *1/3 = *1/3

-2 = x

So the final answer would be x = -2

Anastasy [175]4 years ago

5 0

We are given:

$4x+10=7x+16$

Our goal in solving for any variable, in this case is x, we need to isolate x on one side of the variable. Let's start by subtracting 7x from both sides, which will cancel the +7x on the right side. We are then left with:

$-3x+10=16$

Now, we want to move that +10 to the other side so our x is all by itself. Let's subtract 10 from both sides, which will cancel the +10 on the right leaving us with:

$-3x=6$

Since we cannot have a coefficient when solving for x, we need to divide both sides by -3.

$\frac{-3x}{-3}={\frac{6}{-3}$

When we divide, our answer is:

$x=-2$

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I need to solve the equation please help me

lesantik [10]

Answer:

$\displaystyle x=\Big\{\frac{7\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi, \frac{11\pi}{6}+2n\pi}\Big\}, n\in\mathbb{Z}$

Step-by-step explanation:

We are given the equation:

$4\sin^2(x)+6\sin(x)+2=0$

First, we can divide everything by 2:

$2\sin^2(x)+3\sin(x)+1=0$

Notice that we have an equation in quadratic form. Namely, if we make a substitution where u = sin(x), we acquire:

$2u^2+3u+1=0$

Solve for u. Factor:

$(2u+1)(u+1)=0$

Zero Product Property:

$2u+1=0\text{ or } u+1=0$

Solving for both cases:

$\displaystyle u=-\frac{1}{2}\text{ or } u=-1$

And by substitution:

$\displaystyle \sin(x)=-\frac{1}{2}\text{ or } \sin(x)=-1$

For the first case, recall that sin(x) is -1/2 for every 7π/6 and every 11π/6. Hence, for the first case, our solutions are:

$\displaystyle x=\frac{7\pi}{6}+2n\pi \text{ and } x=\frac{11\pi}{6}+2n\pi, n\in\mathbb{Z}$

Where n is an integer.

For the second case, sin(x) is -1 for every 3π/2. Thus:

$\displaystyle x=\frac{3\pi}{2}+2n\pi$

All together, our solutions are:

$\displaystyle x=\Big\{\frac{7\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi, \frac{11\pi}{6}+2n\pi}\Big\}, n\in\mathbb{Z}$

4 0

3 years ago

What. Is the answer for 13-m=2(-4+m). Plz explain and show work

a_sh-v [17]

13-m=2(-4+m)
13-m=-8+m
-m-m = -8-13
-2m = -21
M= -21 : -2
= 10.5
Sorry if I'm wrong ..

8 0

3 years ago

(2x+1)/(x²-3) simplified

klasskru [66]

The simplified expression of (2x+1)/(x²-3) is 2x/(x²-3) + 1/(x²-3)

<h3>How to simplify the expression?</h3>

The expression is given as:

(2x+1)/(x²-3)

The above expression is a fraction and the numerator has 2 terms

For a fraction

A + B)/x

The fraction can be split as

A/x + B/x

Using the above as a guide, we have:

(2x+1)/(x²-3) = 2x/(x²-3) + 1/(x²-3)

Hence, the simplified expression of (2x+1)/(x²-3) is 2x/(x²-3) + 1/(x²-3)

Read more about expressions at:

brainly.com/question/723406

#SPJ1

4 0

2 years ago

A factory has a linear cost function f(x)= ax+b , where b represents fixed costs and a represents the labor and material costs o

dalvyx [7]

The graph line will drop down by 12. meaning your initial cost (without any labor and material costs) goes down by 12, since your unit is in thousands

3 0

3 years ago

Brian divided 64 ounces of fruit punch into 6 1/3 ounce servings.He has 2/3 ounce of punch left over.How many 6 1/3 ounce servin

ziro4ka [17]

Brian made 10 servings

7 0

4 years ago