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2 years ago

Given that 4x-5y = 21 Find x when y = -4. Give your answer as a fraction in its simplest form.

Mathematics

2 answers:

alexira [117]2 years ago

6 0

Answer:

x = 1/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

4x - 5y = 21

y = -4

Step 2: Solve for x

Substitute in y: 4x - 5(-4) = 21
Multiply: 4x + 20 = 21
[Subtraction Property of Equality] Subtract 20 on both sides: 4x = 1
[Division Property of Equality] Divide 4 on both sides: x = 1/4

blsea [12.9K]2 years ago

4 0

Answer:

1/4 (One over Four)

Step-by-step explanation:

Step 1. Multiply -5 with -4 (Negitive x Negitive is always Positive!).

Step 2. Subtract 20 (From step 1) from 21.

Step 3. divide 4x by 1.

You might be interested in

What is the product of −3 1/4 and −1 1/2? Enter your answer as a mixed number, in simplified form, in the box.

Amiraneli [1.4K]

The product of −3 1/4 and −1 1/2 as a mixed number is $4\frac{7}{8}$ .

The product of −3 1/4 and −1 1/2 as a simplified form is $\frac{39}{8}$

<h3>What is products and mixed numbers?</h3>

Thew products between two terms can be described as the multiplication operation of the the two terms to give a term which is been performed by the use of the operation sign (*) between the two terms.

The mixed number can be defined as the numbers that contains whole numbers as well as the denominators and numerator.

It should be noted that the product of −3 1/4 and −1 1/2 can be done as ( $-3\frac{1}{4} * -1\frac{1}{2} = -\frac{13}{4} * \frac{-3}{2} = \frac{39}{8} = 4\frac{7}{8}$

Read more on mixed number here: brainly.com/question/21610929

#SPJ1

7 0

3 months ago

Dale is standing 2x+7 feet from the base of a tower, the tower is 8x-4 feet tall. What is the distance between dale and the top

V125BC [204]

Answer:

6x - 11 feet

Step-by-step explanation:

Dale is standing (2x + 7) feet height from the base of the tower.

And the tower is given to be (8x - 4)feet tall.

We have to find the distance between Dale and the top of the tower.

Now, the distance between dale and the top of the tower = height of the tower - height of Dale = (8x - 4) - (2x + 7) = (6x - 11) feet. (Answer)

4 0

2 years ago

In a book shop, there are 12 new books on a table. 7 of the books are fiction and the rest are non-fiction. What fraction of the

3241004551 [841]

Answer:

Hi, hows life going?

Step-by-step explanation:

8 0

2 years ago

The graph shows the function y=3x-1. What are the cordinates of intercepts

scZoUnD [109]

Answer:

$y \: intercept : when \: x = 0 \\ y = (3 \times 0) - 1 = - 1 \\ = > (0, - 1) \\ x \: intercept : when \: y = 0 \\ 0 = 3x - 1 \\ x = \frac{1}{3} \\ = > ( \frac{1}{3} ,0) \\ intercepts : (0, - 1) \: and \: ( \frac{1}{3} ,0)$

8 0

2 years ago

Please solve correctly full explanation please will give brainlist

rosijanka [135]

Answer:

They subtracted the values incorrectly

Step-by-step explanation:

The formula for finding the distance between two points is this:
$\sqrt{} (x_{2} -x_{1})^{2} + (y_{2} -y_{1} )^{2}$

The person subtracted the variables incorrectly and subtracted x1 from x2 and y1 from y2 instead of the other way around.

To correctly solve it, do this: $\sqrt{((-7-(-1))^2+(-6-2)^2} = \sqrt{(-6)^{2} + (-8)^{2} } = \sqrt{36+64} = \sqrt{100} = 10$

Hope this helped!

7 0

1 year ago

Read 2 more answers