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3 years ago

What are the rules to solving equations by multiplying or dividing?

Mathematics

1 answer:

Andreas93 [3]3 years ago

5 0

Answer:

In order to move a number that is multiplied or divided by the variable, make sure to inverse both sides! That means, if the number is multiplied, you divide it by both sides. If it's divided, you must multiply it by both side; steps so that you can apply them to harder equations.

Sorry if this didn't help! I hope it did though, good luck. <3

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Which is the approximate solution to the system y = 0.5x + 3.5 and y = − 2/3 x + 1/3 shown on the graph? (–2.7, 2.1) (–2.1, 2.7)

AlekseyPX

Answer:

The approximate solution to the system is $(-2.7, 2.1)$ .

Step-by-step explanation:

To solve the system of equations $\begin{bmatrix}y=0.5x+3.5\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}$ you must:

$\mathrm{Rationalize\:equations}\\\\\begin{bmatrix}y=\left(\frac{1}{2}\right)x+\left(\frac{7}{2}\right)\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}$

$\mathrm{Subsititute\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\begin{bmatrix}-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\end{bmatrix}$

$\mathrm{Isolate}\:x\:\mathrm{for}\:-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\\\\-\frac{2}{3}x=\frac{19}{6}+\frac{1}{2}x\\\\-\frac{7}{6}x=\frac{19}{6}\\\\6\left(-\frac{7}{6}x\right)=\frac{19\cdot \:6}{6}\\\\-7x=19\\\\x=-\frac{19}{7}\approx-2.7$

$\mathrm{For\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\mathrm{Subsititute\:}x=-\frac{19}{7}\\\\y=-\frac{2}{3}\left(-\frac{19}{7}\right)+\frac{1}{3}\\\\y=\frac{15}{7}\approx 2.1$

The approximate solutions to the system of equations are:

$x=-2.7 ,\:y=2.1$

5 0

3 years ago

Read 2 more answers

For which value of b can the expression x2 + bx + 18 be factored?

WINSTONCH [101]

An expression is defined as a set of numbers, variables, and mathematical operations. The value of b for which the expression x² + bx + 18 can be factored is 9.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of b for which the given expression x² + bx + 18 can be factored is 9. This will make the expression factored as (x+3) and (x+6).

Thus, the value of b for which the expression x² + bx + 18 can be factored is 9.

Learn more about Expression:

brainly.com/question/13947055

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6 0

2 years ago

Which statement is true about this equation?

Vlad [161]

Answer:

Step-by-step explanation:

-9x-27+12 = -6x-15-3x

0=0

D) the equation has infinitely many solutions

4 0

2 years ago

Find the greatest common factor of the following monomials 37u^3v^6 and u^6v^2

Juliette [100K]

Answer:

Step-by-step explanation:

The GCF of these monomials is : u^3v^2

5 0

3 years ago

The screen on briannas new phone is 2.85 centimeters long. what mixed number represents the length of the phone screen?

Mekhanik [1.2K]

We know that
the number $2.85$ is equal to

$2.85=2+0.85$

$0.85$ is equal to

$\frac{85}{100}$
divide by 5 both members

$\frac{85}{100} = \frac{17}{20}$

so
$2.85=2 \frac{17}{20}$

the answer is
$2 \frac{17}{20}$

8 0

3 years ago

Read 2 more answers