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3 years ago

To begin solving this system of linear equations by elimination,you can add the equations

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

5 0

Answer:

The Correct option is C. Addition Property of Equality.

For above Equation by Elimination we use

Addition Property of equality

Step-by-step explanation:

Given:

Addition Property of Equality :

The property that states that if you add the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true.)

Here equation is given as

3x + 4y = 38

+ 5x - 4y = -30

-------------------------------------

8x = 8

------------------------------------

Here +4y and -4y gets cancelled or becomes 0 hence 8x = 8.

For above Equation by Elimination we use

Addition Property of equality

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You want to place a towel bar that is 10 1⁄4 inches long in the center of a door that is 26 1⁄3 inches wide. How far should you

attashe74 [19]

The bar should be 8 1/24 from the each edge of the door.

We need to subtract 10 1/4 from 26 1/3 to get the fraction of the space not covered by the towel bar.
We also need to divide the difference by 2 because we placed the towel bar in the center of the door.

1st we need to convert the mixed fractions into fractions to perform subtraction.
26 1/3 = ((26*3)+1)/3 = 79/3
10 1/4 = ((10*4)+1)/4 = 41/4

Steps in Subtracting Fractions
Step 1. Make sure the denominator is the same. 3 and 4 are the denominators, they are not the same but they are factor of 12. So,
79/3 must be multiplied by 4 = 79 * 4 / 3 * 4 = 316 / 12
41/4 must be multiplied by 3 = 41 * 3 / 4 * 3 = 123 / 12

Step 2. Subtract the numerators and place them above the common denominator
316/12 - 123/12 = 316 - 123 / 12 = 193 / 12

Before we can simplify the fraction, we must divide it by two to get the measurement of each edge of the door.

Steps in dividing fractions.
Step 1. Get the reciprocal of the 2nd fraction.
1st fraction : 193 / 12
2nd fraction : 2 /1 ⇒ reciprocal 1/2

Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction
193 / 12 * 1/2 = 193 * 1 / 12 * 2 = 193 / 24

Step 3. Simplify the fraction.
193 / 24 = 8 1/24

8 0

2 years ago

How many lines of symmetry does this shape have?

Katena32 [7]

Answer: At least 7

Step-by-step explanation:

A good tip is to cut the same shape and fold it and count how many symmetry :)

4 0

2 years ago

Point a is located at -6/8 and point B is located at -1/8 what is the distance between points A and B

Ahat [919]

The distance between points A and B
(-1/8)-(-6/8) = 5/8

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3 years ago

5,-15,35,55....<br> What is the common difference

harkovskaia [24]

Answer:

The common difference is -20

Step-by-step explanation:

Simply subtract 5 from -15

-15-5 = -20

3 0

2 years ago

Read 2 more answers

Evaluate the algebraic expression when x=10

matrenka [14]

https://www.mathpapa.com/algebra-calculator.html?q=x%3D10x%2F2%2B5

Step-by-step explanation:

7 0

2 years ago