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3 years ago

Y=4x and 3x+y=-21. Substitute

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

5 0

value of x= -3 and value of y = -12

Solution set is (-3,-12)

Step-by-step explanation:

We need to solve the system of equations using substitution

The system of equations are:

$y=4x\\3x+y=-21$

Solving:

Let

$y=4x\,\,eq(1)\\3x+y=-21\,\,eq(2)$

Solving:

Putting value of y from equation 1 into equation 2

$3x+y=-21\\3x+4x=-21\\7x=-21\\x=-21/7\\x=-3$

So, value of x = -3

Now, putting value of x into equation 1 and find value of y

$y=4x\\y=4(-3)\\y=-12$

Value of y = -12

So, value of x= -3 and value of y = -12

Solution set is (-3,-12)

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

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If the probability of surviving a head on car accident at 55 mph is 0.097, then what is the probability of not surviving

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The probability of not surviving a head-on car accident is: 0.903

Step-by-step explanation:

The probabilities of occurrence and non-occurrence of an event add up to one.

If p is the probability that an even will happen and q is the probability that it will not happen

Then

$p+q=1$

Here,

Probability of surviving = p = 0.097

Probability of not surviving = q = ?

$0.097 + q = 1\\q = 1 - 0.097\\q = 0.903$

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3 years ago

Determine a series of transformations that would map Figure E onto Figure F.

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Step-by-step explanation:

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3 years ago

What steps should be taken to calculate the volume of the prism? Select three options. A rectangular prism with a length of 9 an

fgiga [73]

The steps to be taken to determine the volume of the rectangular prism are:

Use A = bh to find the area of the base.

Use V = Bh to find the volume of the prism.

Volume of the prism, V = (228)(6) = 1,368 feet cubed.

<h3>How to Find the Volume of a Rectangular Prism?</h3>

A rectangular prism has a height, base, and width. The volume of the rectangular prism can be found by using the following steps:

Find the base area of the rectangular prism using the formula, A = bh, where b is the base length and h is the height of the base.
Then, find the Volume using the formula, V = Bh, where B is the base area and h is the height of the prism.

Parameters are:

Length of prism = 9 and one-half feet,

Width of prism = 24 feet,

Height of prism = 6 feet

Given the dimensions of the rectangular prism above, do the following:

Find the area of the base of the rectangular prism:

Area of base = (9 1/2)(24) = 228 cm²

Find the Volume of the prism using V = Bh :

Volume of the prism = (228)(6) = 1,368 feet cubed.

Therefore, the steps to be taken to determine the volume of the rectangular prism are:

Use A = bh to find the area of the base.
Use V = Bh to find the volume of the prism.
Volume of the prism, V = (228)(6) = 1,368 feet cubed.

Learn more about volume of the rectangular prism on:

brainly.com/question/12917973

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2 years ago

Given CDEFG ≌ HIJKL and CD = 12, DE = 13, EF = 10, FG = 11, and GC = 8, what is HI?

Licemer1 [7]

CDEFG $\cong HIJKL \Rightarrow\overline{HI}=\overline{CD}$
$\\\Downarrow\\ \overline{HI}=12$

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3 years ago