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2 years ago

Which ordered pair is a solution to the system of linear equations? 2x 3y= 6 –3x 5y = 10 (0,2) (2,0) (3,2) (2,3)

1 answer:

3 0

An equation is formed of two equal expressions. The ordered pair which is the solution of the system of linear equations is (0,2).

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

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of the equation can be done in the following manner.

2x+3y=6

3x+5y=10

Let's take the first equation and find write it in terms of y. therefore, the first equation can be written as,

$2x+3y=6\\\\2x=6-3y\\\\x = \dfrac{6-3y}{2}$

Now, substitute the value of x in the second equation,

$3x+5y=10\\\\3(\dfrac{6-3y}{2})+5y=10\\\\18-9y +10y = 20\\\\-9y+10y=20-18\\\\y=2$

Thus, the value of y is 2. substituting the value of y in the first equation to get the value of x.

$2x+3y=6\\\\2x+3(2)=6\\\\2x=6-6\\\\x=0$

Hence, the ordered pair which is the solution of the system of linear equations is (0,2).

Learn more about Equation:

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Part c

ehidna [41]

The probability that the first slice of the cake will have the marble exists

7/66.

<h3>How to determine the probability using parts A and B?</h3>

Part A of the question demands that the volume of the cake be

estimated.

The volume of the cake exists, $$V=\pi(\frac{d}{2} )^{2} h \\$

$$&V=\pi(\frac{9}{2} )^{2} * 4$

$$V=81 \pi$

The part B of the question requires that the volume of each cut be

computed

The volume of each cut exists, V = 27

To estimate the required probability

We simply divide the volume of each cut by the volume of the cake.

$$P=\frac{27}{81 \pi}$

$$P=\frac{1}{3 \pi}$

Expand $\pi$

$$&P=\frac{7}{3 * 22} \\$

$$&P=\frac{7}{66}$

Therefore, the probability that the first slice of the cake will contain the

marble exists at 7/66.

To learn more about probability refer to:

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1 year ago

X plus -2 equals four

expeople1 [14]

X + (-2) = 4...
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a vegetarian sandwich is in the aproximate shape of a cone. the height of the sandwich is 6 inches and the base diameter is 3.5

Olenka [21]

Answer: 19.2inches³

Step-by-step explanation:

The volume of a cone is calculated as:

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where,

π = 3.14

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Volume = 1/3πr²h

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Therefore, the volume of the cone-shaped sandwich is 19.2inches³.

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