4x-y=7 , 4x-2y=2
Solve the equation with elimination

Answers

Answer 1

Answer:

The solution of the system of linear equations by elimination method will be (3, 5).

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The system of linear equations is given below.

4x - y = 7 ...1

4x - 2y = 2 ...2

Subtract equation 2 from equation 1, then we have

2y - y = 7 - 2

y = 5

Then the value of the variable 'x' is given as,

4x - 5 = 7

4x = 12

x = 3

The solution of the system of linear equations by elimination method will be (3, 5).

More about the solution of the equation link is given below.

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Answer 2

Answer:

$\left\{\begin{array}{ccc}4x-y=7\n4x-2y=2&\text{change the signs}\end{array}\right\n\underline{+\left\{\begin{array}{ccc}4x-y=7\n-4x+2y=-2\end{array}\right}\qquad\text{add both sides of the equations}\n\n.\qquad\qquad \boxed{y=5}\n\n\text{Put the value of y to the first equation:}\n\n4x-5=7\qquad\text{add 5 to both sides}\n\n4x=12\qquad\text{divide both sides by 4}\n\n\boxed{x=3}\n\nAnswer:\ \boxed{x=3\ and\ y=5}$

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Please can someone help me with the whole page ? Thank u and please please please show your work.
Factor completely: 3x^2 – 21x + 30A. 3(x – 2)(x – 5)B. (3x – 2)(x – 15)C. 2(x – 3)(x – 10)D. (x – 2)(x – 5)

Mason worked 24 hours at the book shop at an hourly rate of $8.75. How much Medicare tax will be deducted from his paycheck this week? (Medicare tax is a fixed tax of 1.45% of a person’s gross pay.) A. $8.82 B. $210.00 C. $196.45 D. $3.05

Answers

c. $196.45 is the amswer

A manufacturer finds that the life expectancy of its best selling model of dishwashers is 11 years and the standard deviation is one year. The lifespans are approximately normally distributed . What percent of dishwasher models skill last from 9-13 years? A. About 68%. B.about 95%. C. About 34 percent. D. About 47.5 percent

Answers

D About 47.5 percent

80% of how many games is 32 games?

Answers

percent means parts out of 100 so
80%=80/100=8/10=0.8
'of' can be translated to as multiply
0.8 times x games is 32 games
0.8 times x=32
note:0.8x= 0.8 times x
0.8x=32
multiply both sides by 10
8x=320
divide both sides by 8
x=40
the number is 40

So, you can set it up like: is over of = % over 100
We need a proportion to solve that answer.
So put the "is" part, which is 32 on top on the left over the "of" part, which is what you do not know, so put x as a variable. Now put 80% since it's the percentage over 100 on the right side. Now, it should look like this: 32/x=80/100(you do not need to include the % sign). Now cross multiply and you get: 80x=3200. Now divide 80 on both sides and you get 40. So there would be 40 games.
Hope this helps. :-)
PS I'm sure glad I learned about proportions to help. (I hope I did)

The perimeter P of a square whose side length is n… is this direct variation?

Answers

The perimeter of a square is four times the side, since you have to sum all sides, and they're all the same length:

$P=n+n+n+n=4n$

This is direct variation, because we have

$P=4n \iff (P)/(n)=4$

and if the ratio between two variables is constant (in this case, 4), then the two variables are in direct variation.

Final answer:

The perimeter of a square is directly proportional to its side length, therefore it's an example of direct variation.

Explanation:

Yes, the perimeter (P) of a square with side length (n) is an example of direct variation. In this case, P is directly proportional to n. To understand this, think of a square. A square has four equal sides. Thus, its perimeter (P) is n times 4, or P = 4n. If n is increased, the perimeter also increases proportionally, which supports that it's a direct variation relationship. A change in one quantity leads to a proportional change in the other one.

Learn more about Direct Variation here:

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A migrating bird flies 350 miles in 14 hours. How many miles does it fly in 5 hours?

Answers

They would have flew 125 miles in 5 hours.

In 14 hours it flew 350 miles

In 1 hour it would have flown : 350/14

In 5 hours it will fly: 350 / 14 * 5 = 125

In 5 hours it will fly 125 miles.

Christopher had a part-time job doing lawn work. During June, he earned $129.99. During July, he earned $412.50. What were his total earnings for June and July?