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3 years ago

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?

Mathematics

2 answers:

liraira [26]3 years ago

5 0

Answer:12

Step-by-step explanation:

Oduvanchick [21]3 years ago

4 0

Answer:

The value is 12

Step-by-step explanation:

we have

$y=-2x+4$

Convert to standard form

$2x+y=4$ ----> equation A

Let

a ----> the missing value

$6x+3y=a$ ----> equation B

we know that

If the system of equations A and B has infinitely solutions, then equation A and equation B are identical

Multiply equation A by 3 both sides

$3(2x+y)=3(4)$

$6x+3y=12$ ----> new equation A

Equate new equation A and equation B

$a=12$

therefore

The value is 12

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satela [25.4K]

Answer:

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2 years ago

Trisha and Byron are washing and vacuuming cars to raise money for a class trip. Trisha raised $38 washington 5 cars and vacuumi

ANEK [815]

Answer:

They charged $6 for washing and $2 for vacuuming the car.

Step-by-step explanation:

Let the charge of washing a car be 'x'.

And also let the charge of vacuuming a car be 'y'.

Now according to question, Trisha raised $38 washing 5 cars and vacuuming 4 cars.

So framing the above sentence in equation form, we get;

$5x+4y=38\ \ \ \ \ equation\ 1$

Again according to question, Byron raises $28 by washing 4 cars and vacuuming 2 cars.

So framing the above sentence in equation form, we get;

$4x+2y=28\ \ \ \ \ equation\2$

Now multiplying equation 2 by '2', we get;

$2(4x+2y)=28\times2\\\\8x+4y=56\ \ \ \ equation\ 3$

Now we subtract equation 1 from equation 3 and get;

$(8x+4y)-(5x+4y)=56-38\\\\8x+4y-5x-4y=18\\\\3x=18\\\\x=\frac{18}{3}=6$

Now substituting the value of 'x' in equation 1, we get;

$5x+4y=38\\\\5\times6+4y=38\\\\30+4y=38\\\\4y=38-30=8\\\\y=\frac{8}{4}=2$

Hence They charged $6 for washing and $2 for vacuuming the car.

8 0

3 years ago

A radio is being discounted 40%. If the sale price of the radio is $31.02, what was the original price of the radio?

kobusy [5.1K]

Answer:

$51.70 is the original price

Step-by-step explanation:

Step 1:

Turn 40% into a decimal which makes it 0.40

ex. 50% would be 0.50, 5% would be 0.05 etc.

Step 2:

Put the numbers into this formula: Original Price (x) - Percent Off times Original Price = Sales Price

x - 0.40x = 31.02 this is basically 1x - 0.40x = 31.02 so,

Solving the left side of our equation gives us 1x - 0.40x = 0.60x

so now you have: 0.60x = 31.02

Step 3:

Divide both sides by 0.60 which gets x by itself and gives us the original price which is $51.70

8 0

3 years ago

I would like some assistance pls

nasty-shy [4]

Answer:

where the x axis are you put Your numbers

7 0

3 years ago

What is the y-intercept of the line represented by y = 4x?

Brut [27]

Answer: 0

Step-by-step explanation: In order to identify the y-intercept of this equation, we want to get this equation into slope-intercept form which is more commonly known as y = mx + b form.

The problem is our equation doesn't match up quite so well with the formula y = mx + b. Our slope or m which is represented by the coefficient of the x term is clearly +4 but what is our y-intercept or b?

Well y = 4x can be thought of as y = 4x + 0 so you can see that our b or y-intercept equals 0.

5 0

3 years ago