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Jet001 [13]
3 years ago
10

Solve the equation. –9x 1 = –x 17 x = –8 x = –2 x = 2 x = 8

Mathematics
1 answer:
den301095 [7]3 years ago
6 0

The value of the variable <em>x </em>for the provided equation  –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.

<h3>What is the solution of equation?</h3>

The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.

The equation given in the problem is,

-9x +1 = -x +17\\

To solve this equation, take the terms of variable x left side of the equation and constant term other side,

-9x +x = 17-1\\-8x=16

Divide both side of the equation with number 8 as,

\dfrac{-8x}{8}=\dfrac{16}{8}\\-x=2\\x=-2

Hence, the value of the variable <em>x </em>for the provided equation  –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.

Learn more about the solution of the equation here;

brainly.com/question/21283540

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2 years ago
Kay has 28 coins which includes nickels and dimes if the total is 2.35$, how many of each coin does Kay have?
BaLLatris [955]

Answer:

19 dimes and 9 nickels

Step-by-step explanation:

Model the situation using two equations, then solve the system.

let n be number of nickels and d be number of dimes.

n + d = 28     <= This equation is about the number of coins.

0.05n + 0.10d =  2.35   <=This equation is about the worth in dollars.

Rearrange n + d = 28.

n = 28 - d

Now we can substitute this equation into the other one.

Sub n =28-d at the "d" variable for the equation 0.05n + 0.10d =  2.35

0.05n + 0.10d =  2.35

Now there is only one variable.

0.05(28 - d) + 0.10d =  2.35   <=distribute this

0.05(28 - d) + 0.10d =  2.35

1.4 - 0.05d + 0.10d = 2.35   <=combine like terms

1.4 + 0.05d = 2.35    <= begin to isolate d

0.05d = 2.35 - 1.4

0.05d = 0.95

d = 0.95/0.05

d = 19

Now that we know d=19, we can substitute it into any equation.

Choose the equation n + d = 28 because the numbers are easier.

n + d = 28

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n = 28 - 19

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Since n=9 and d=19, Kay has 9 nickels and 19 dimes.

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