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Vinvika [58]
3 years ago
13

A system of equations has infinitely many solutions. If 2y - 4x = 6 is one of the equations, which could be the other

Mathematics
2 answers:
stira [4]3 years ago
8 0

Answer:

C. –y = –2x – 3

Step-by-step explanation:

edg. unit test

Serjik [45]3 years ago
6 0

Answer:

-y = -2x - 3

Option 3

Step-by-step explanation:

When equations are equivalent, they will have infinitely many solutions.

If you want to find an equivalent equation, you can <u>multiply/divide every</u> term in the equation by the same number. You can also <u>rearrange</u> the equation.

Since the options mostly have "y" by itself, start by <u>rearranging</u> to isolate "y" in the given equation.

Move all the other numbers to the right of the equal sign except for "y". To move a number, apply its reverse operation to the entire equation.

Do reverse operations in reverse BEDMAS order.

2y - 4x = 6                Move "-4x" first. It's reverse is +4x.

2y - 4x + 4x = 6 + 4x

2y = 6 + 4x                Move the "2" in 2y. Divide the whole equation by 2.

2y/2 = 6/2 + 4x/2

y = 3 + 2x                  Rearrange to look like the answer choices.

y = 2x + 3

This equation looks like option 3 except every term has a different negative/positive.

y = 2x + 3         -y = -2x - 3

We can <u>multiply every term</u> by -1.

y = 2x + 3

y*-1 = 2x*-1 + 3*-1

-y = -2x + (-3)                Negative and positive make a negative

-y = -2x - 3                     Same as option 3

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2 years ago
Compared to a model of 9/12 , a model of 3/4 will show -------------(A)3 Times as many B)1/3 times as many D)The same number of)
aleksandrvk [35]

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Answer:

  B, B

Step-by-step explanation:

A model of 9/12 will have 12 parts, 9 of which are shaded.

A model of 3/4 will have 4 parts (1/3 as many), 3 of which are shaded. Each part of this model will correspond to 3 parts of the 9/12 model. Hence, each part is 3 times the size of a part in the 9/12 model.

  B) 1/3 times as many

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2 years ago
Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are al
notsponge [240]

Answer:

w = V/lh

Step-by-step explanation:

The volume of a rectangular prism is calculated using the formula V = lwh, where V is the volume of the prism, l and w are the length and width of the base of the prism, respectively, and h is the height of the prism.

Rewrite the formula to find the width of the base of the prism if the volume, length of the base, and height of the prism are already known.

volume of a rectangular prism,V = lwh

Where,

l = length of the base of the prism

w = width of the base of the prism

h = height of the prism

Rewrite the formula to find w

V = lwh

w = V/lh

That is,

width of the base of the prism = volume of the prism divided by length of the base of the prism multiplied by height of the prism

5 0
2 years ago
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Marina CMI [18]

Answer:

  The first two tables show y as a function of x.

Step-by-step explanation:

A relation is <em>not a function</em> if the same x-value shows up more than once in the table. That will be the case for the last two tables, each of which has x=2 show up twice.

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3 years ago
The product of 7 and a number x is at most 42
DaniilM [7]

Answer:

x=6

Step-by-step explanation:

42 is the total, so 42/7 is 6.

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3 years ago
Read 2 more answers
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