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Verdich [7]
2 years ago
7

HELP!! Find the solution of this system of equations x - y = 4 - 10x + y = -58

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
4 0

Answer:

Step-by-step explanation:

given: x-y = 4

x=4+y

given: -10x + y = -58

plug in for x

-10(4 + y) + y = -58

-40 - 10y + y = -58

-9y = -18

y = -18 / -9

y = 2

now plug in 2 for y in the first equation

x-2=4

x=6

There is the solution  x=6, y=2  :)

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How to solve -4{1-2x}-1=7x
mina [271]

Answer:

<h2>x = 5</h2>

Step-by-step explanation:

-4(1-2x)-1=7x\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(-4)(1)+(-4)(-2x)-1=7x\\\\-4+8x-1=7x\qquad\text{combine like terms}\\\\8x+(-4-1)=7x\\\\8x-5=7x\qquad\text{add 5 to both sides}\\\\8x-5+5=7x+5\\\\8x=7x+5\qquad\text{subtract}\ 7x\ \text{from both sides}\\\\8x-7x=7x-7x+5\\\\x=5

7 0
3 years ago
Read 2 more answers
Two pipes running together can fill a tank in 20 minutes.
Hunter-Best [27]

Answer:

45, 36

Step-by-step explanation:

let x y minutes be the time for pipes to fill the tank, let n be the water needed to fill the tank.

x-y=9

(n/x)*20+(n/y)*20=n

n is removed by dividing the 2nd equation by n

here u get:

(1/x+1/y)*20=1

you sub x=9+y into the above equation

1/y+1/(9+y)=1/20

((9+y)+(y))*20=(9+y)(y)

180+40y=9y+y2

y2-31y-180=0

then use the quadratic formula and u will find y=36 or -5

-5 is rejected because it is negative

x=36+9=45

therefore it is 36 mins and 45 mins

3 0
3 years ago
Is xy = yx? Explain how you know
blagie [28]

Answer:

Yes

Step-by-step explanation:

xy=yx because either way, you would end with the same product. For example, if x was 3 and y was 2, you would have (3)(2)=(2)(3), giving you 6=6 which is, in fact, a true statement.

4 0
2 years ago
A cafeteria can seat 5x10*2 students. Each table has 2x10*1 seats. How many tables are in the cafeteria?
frozen [14]

Answer: 25 tables.

Step-by-step explanation:

5 • 10*2= 500 (10*2= 100, then 100 times 5)

2 • 10*1= 20 (10*1= 10, then times 2)

Therefore a cafeteria can seat 500 students. Each table had 20 seats.

Divide 500/20 and get 25.

Hope this helps

8 0
3 years ago
From a boat on the lake, the angle of elevation to the top of a cliff is 24°19 If the base of the cliff is 2994 feet from the bo
loris [4]

Answer:

Answer is C 1353

Step-by-step explanation:

6 0
3 years ago
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