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ra1l [238]
3 years ago
13

The following proof shows an equivalent system of equations created from another system of equations. Fill in the missing reason

in the proof.
Statements Reasons
2x + 2y = 14
−4x + 6y = 12 Given
2x + 2y = 14
−2x + 3y = 6 ?

Multiplication Property of Equality
Addition Property of Equality
Division Property of Equality
Subtraction Property of Equality
Mathematics
1 answer:
lianna [129]3 years ago
8 0
Multiplication property of equality
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Find all solutions for 2y - 4x =2 y = 2x + 1 site:socratic.org
sladkih [1.3K]

Answer:

All real numbers would be the solution

Step-by-step explanation:

2y - 4x =2 and y = 2x + 1

We solve but placing the value of y into the first equation:

2(2x + 1) - 4x = 2

Next we distribute the 2 through the parenthesis:

4x + 2 - 4x = 2

Now we gather like terms:

2 = 2 ( note the 4x and - 4x cancel out)

Since 2 =2 this tells us that all real numbers would work.

5 0
3 years ago
PLS HELP I WILL GIVE BRAINLIEST PLS
Serhud [2]

Answer:

B.

Step-by-step explanation:

x represents the amount of guests going to the birthday party, with the amount of money per guest being 12. You would multiply those two together, but as we do not know the total amount of guests, we keep it as a variable. 125 is the amount before the guests even know about the party, so therefore, you would need to use that equation.

6 0
3 years ago
The area of the rectangle is 54 units squared. Write and solve an equation to find x.
lord [1]

Answer: x=5

Step-by-step explanation:

The area of a rectangle can be found with the following formula:

A=lw

Where "l" is the length and "w" is the width.

In this case you can identify in the figure given in the exercise that:

l=4x-2\\\\w=3

You know that the area of that rectangle is the following:

A=54

Therefore, knowing those values, you can substitute them into the formula and then you must solve for "x" in order to find its value. You get that this is:

54=(4x-2)(3)\\\\54=12x-6\\\\54+6=12x\\\\\frac{60}{12}=x\\\\x=5

6 0
3 years ago
Michael will be travelling out of town for business. During his travel, he is scheduled to have 4 dinners, 5 lunches, and 3 brea
Alinara [238K]
One dinner = 22.65
4 dinners = 22.65 x 4 = $90.60

one lunch = 10.95
5 lunches = 10.95 x 5 = $<span>54.75

one breakfast = 6.53
</span>3 breakfasts =  6.53 x 3 = 19.59

Total = $90.60 +  $54.75 + $19.59  = $164.94
5 0
3 years ago
27 - 4x + -7 ( 1 + 3x)
babymother [125]

Answer:

-25x + 20

Step-by-step explanation:

I am going to assume by the lack of instructions, you wanted this simplified. We need to start by combining the -7 into the two terms in the paranthesis:

27 -4x -7 -21x

We can now combine like terms to simplify:

-25x + 20

4 0
4 years ago
Read 2 more answers
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