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3 years ago

Solve for x. 6x - 3x = 12

Mathematics

1 answer:

expeople1 [14]3 years ago

8 0

Answer:

x=4

Step-by-step explanation:

3x = 12

divide by 3

x =12/3

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2x + 3y = 12<br> Complete the missing value in the solution to the equation.

Alja [10]

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Step-by-step explanation:

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Solve the following system by any method -8x-8y=0 -8x+2y=-20

iVinArrow [24]

$\fbox{Solution by using Matrix}$

$\text{Linear Equation} = -8x-8y=0 , -8x+2y=-20$

$\text{Rewrite the linear equations above as a matrix}$

$\left[\begin{array}{ccc}8&-8&0\\-8&2&-20\\\end{array}\right]$

$\text{Apply to Row2 : Row2 + Row1}$

$\left[\begin{array}{ccc}8&-8&0\\-8&-6&-20\\\end{array}\right]$

$\text{ Simplify rows}$

$\left[\begin{array}{ccc}8&-8&0\\0&1&10/3\\\end{array}\right]$

$\text{Note: The matrix is now in echelon form.}$ $\text{The steps below are for back substitution.}$

$\text{Apply to Row1 : Row1 + 8 Row2}$

$\left[\begin{array}{ccc}8&0&80/30\\0&1&10/3\\\end{array}\right]$

$\text{ Simplify rows}$

$\left[\begin{array}{ccc}1&0&10/3\\0&1&10/3\\\end{array}\right]$

$\text{Therefore, the solution is}$

$x= \dfrac{10}{3} \ \text{and} \ \ y=\dfrac{10}{3}$

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3 years ago

If blueberries cost $4.00 per pound, how many pounds of blueberries can you buy for $1.00?

Masteriza [31]

If x is the number of berries you can buy with 1 dollar,

1 pound of blueberries = $4.00

x pound of berries = $1.00

Lets set up a proportion- because these are directly proportional- when there is more pounds of berries, it will cost more.

$\frac{1}{4.00} = \frac{x}{1.00}$

Cross multiply

4x=1

Divide both sides by 4 to isolate x

x=1/4 or $0.25

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3 years ago