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masya89 [10]
3 years ago
10

Solve by multiplication and addition. Show each step of your work. 2x – 3y = 18 4x + y = 8 Please help me!!!! I am giving 50 poi

nts!
Mathematics
2 answers:
ivanzaharov [21]3 years ago
8 0

Answer:

(x, y ) = (3 , - 4 )

Step-by-step explanation:

given the 2 equations

2x - 3y = 18 → (1)

4x + y = 8 → (2)

multiply (2) by 3

12x + 3y = 24 → (3)

add (1) and (3) term by term to eliminate the term in y

(2x + 12x) + (- 3y + 3y) = (18 + 24)

14x = 42 ( divide both sides by 14 )

x = 3

substitute x = 3 in (1) or (2) to evaluate for y-coordinate

(2) → 12 + y = 8 ⇒ y = 8 - 12 = - 4

solution is (3, - 4 )


motikmotik3 years ago
6 0
2x - 3y = 18
4x + y = 8
/*multiply first eqtn by -2

-4x + 6y = -36
4x + y = 8
/*add the eqtns

-4x + 6y + 4x + y = -36 + 8
7y = -28
y = -4

Plug in the y value into either of the first two eqtns:

2x - 3*(-4) = 18
2x +12 = 18
2x = 18 - 12
2x = 6
x = 3

(x,y)=(3,-4)
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3 years ago
Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below. Note: Figure is not drawn to scale.
Flauer [41]

Answer:

The diagonal is 421.

Step-by-step explanation:

This is a difficult question. To find the diagonal, you need to find the base and the height of the square. After that, you need to make it a triangle, by using this equation; A=\frac{1}{2} BH (A being area, B being base, and H being height) then find the length of the hypotenuse of the triangle, which I will do for you.

32*13=416 The B and H = 416. Plug it into the equation now;

A=\frac{1}{2}(416*416)\\\\\\A=\frac{1}{2} 173,056\\\\\\A=86,528Now that you have done that, we know that the area of our new triangle is 86,528.

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8 0
3 years ago
Read 2 more answers
Use parenthesis to make each number sentence true. <br><br> 124 - 6 x 0 + 15 = 34
Natasha2012 [34]

Answer:

12 - 6 x (0 + 15) = 34

How I got my answer

First, how i got my answer was that I had to solve the equation first, ignoring the answer. I got 0 x 6 = 0, then I did 124 - 0 = 124, then I did 124 - 15 = 109, which clearly isn't 34. I figured that we have to put the parentheses around the zero because if we don't, we are going have to multiply something by zero, which always gets zero. After that, I decided that I should put the parentheses around either the 6, or the 15. I did both, and saw which one was correct. If we put it around the 6, we get, 124 - (6 x 0) + 15 = 124 - 0 - 15 = 124 - 15 = 109, which isn't 34. Then I checked 124 - 6 x (0 + 15) = 124 - 6 x 15 = 124 - 90 = 34, and we just got the answer.

P.S. Sorry if it was confusing, I didn't really know how to explain it

5 0
4 years ago
Solve for y <br> 5y-x=10<br><br> Is it 2?
svet-max [94.6K]
5y-x=10
Isolate the variable
add x to both sides
5y-x+x=10+x
5y=10+x
Divide both sides by 5
5y/5=10+x/5
y=2+1/5x 
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5 0
3 years ago
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sergij07 [2.7K]
26 adult tickets = $12 (cost of an adult movie ticket) • 26 = $312

There were $312 dollars worth of money sold from the adult tickets that were sold for the 10PM show.

$600 - $312 = $288

This means that there were $288 dollars worth of money sold from children’s tickets for the 10PM show.

Since each children ticket is $8, you would do

8x = $288

(X IS HOW MANY CHILDREN TICKETS THAT WERE SOLD)

Once you do that, you would simplify it by dividing 8x by 8 which would give you x by itself and do the same thing for the other side as you have to do the same for both sides of the equal sign. So, you would do $288 divided by 8 and get 36.

x = 36

To check our work, we will substitute the value of x into the equation

8(36) = $288
288 = $288

Therefore, there were 36 children tickets sold for the 10PM show.
4 0
2 years ago
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