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3 years ago

X-1/2 = x-3/4 - x-4/5

Mathematics

1 answer:

Andrei [34K]3 years ago

5 0

Answer: $x = \frac{-21}{20}$

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Can you help me please?! :)

UkoKoshka [18]

The answer is A
start by isolating the y variable
the rest of the work is shown here

3 0

3 years ago

3 coffees and 4 donuts cost $10.05. In the same cafeteria, 5 coffees and 7 donuts cost $17.15. How much do you have to pay for 4

MakcuM [25]

Answer

You need to pay $14.20 to get 4 coffees and 6 donuts.

Explanation

Let's say that the price of one coffee and x and the price of one donut is y.

In the first instance, 3x+4y=10.05.

In the second instance, 5x+7y=17.15.

You can use these equations to find the value of a coffee and the value of a donut.

We can find x and y using elimination. To do this, you should add or subtract one equation from another to "get rid" of a variable (I'll "get rid" of x). We can't just add or subtract the equations right now, since that wouldn't lead to 0x.

Multiply the first equation by 5, and the second equation by 3. After this, both equations will have 15x. Make sure to multiply each term by 5 and 3.

15x+20y=50.25. This means that 15 coffees and 20 donuts is $50.25.

15x+21y=51.45. This means that 15 coffees and 21 donuts is 51.45.

Now since there are an equal number of coffees, we can subtract these equations.

(15x+21y=51.45)-(15x+20y=50.25) equals y=1.20 (a donut costs $1.20).

Plug the price of the donut into y to find x; 3x+4(1.20)=10.05. The value of x is 1.75. The price of a coffee is 1.75.

You can multiply 1.75 by 4 to find the price of 4 coffees and 1.20 by 6 to find the price of 6 donuts.

1.75*4 is 7.00 and 1.20*6 is 7.20.

You can add those to find the total price; 7.00+7.20=14.20.

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3 years ago

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3 years ago

I want to know what g is

MAVERICK [17]

Answer:

Step-by-step explanation:

2(5-4g) + 3g - 11 = 5(g-3) - 12 - 3g (remove the parantheses)

10 - 8g + 3g - 11 = 5g - 15 - 12 -3g (Calculate and collect like terms)

-1 - 5g = 2g - 27 (move the terms)

-5g -2g = 27 + 1 (collect like terms and calculate)

-7g = -26 (divide both sides)

so G = 26/7

7 0

3 years ago

Read 2 more answers

When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x – y=6?

oksian1 [2.3K]

Answer:

answer B: (2,-2)

Step-by-step explanation:

First, write the equations on top of each other:

$3x+2y=2\\2x-y=6$

Then, multiply the the second equation by 2 so that we can use elimination of the y-variable:

$3x+2y=2\\2(2x-y)=2(6)\\\\3x+2y=2\\4x-2y=12$

Next, use elimination to find the value of "x":

$3x+2y=2\\+(4x-2y=12)\\\\7x+0=14\\7x=14\\\frac{7x}{7}=\frac{14}{7}\\x=2$

So, your x-value is 2.

Now, substitute your x-value into one of your equations, let's take the second equation, 2x-y=6:

$2x-y=6\\2(2)-y=6\\4-y=6\\4-4-y=6-4\\-y=2\\\frac{-y}{1}=\frac{2}{-1}\\y=-2$

Your y-value is -2.

With all your information gathered, you find that the solution to this system of equation is (2,-2).

5 0

3 years ago