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QveST [7]
3 years ago
8

In May, Liam and Charlie had the same amount of money in their savings accounts. In June, Liam deposited $140 into his account.

Charlie said he increased the money in his account by 5%. When they compare their balances, they found that they were still equal. How much money did they both have in their accounts in May?
Mathematics
2 answers:
serg [7]3 years ago
8 0
Liam’s saving = x + $140
Charlie’s saving = x + 5%
In order to get the value of x, let’s find the amount which 5% is equals to 140
=> 2800
=> 5% = 0.05
=> 2800 x 0.05
=> 140
=> 2800 (amount that Liam and Charlie have in their account before they added)
Thus, Liam and Charlie both have $2800 on their account .
=> Liams = 2800 + 140 = 2940
=> Charlir = 2800 + 5% (140) = 2940
sukhopar [10]3 years ago
8 0

Answer:

2,800.00

Step-by-step explanation:  

If you're in k12 that's the answer. Hope this helps :) - Amy

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Please help me find the answer pls​
fiasKO [112]

Answer:

A. Solutions are: x = 2, y = 1.

B. Solutions are: x = 3, y = 2.

C.

1. Inconsistent

2. Inconsistent

3. Consistent

Step-by-step explanation:

A. Solutions of each system of linear equations by substitution method:

Equation 1:      3x - 2y = 4

Equation 2:               x = 2y

<u>Step 1:</u> Substitute x = 2y into the Equation 1:

3(2y) - 2y = 4

6y - 2y = 4

4y = 4

Step 2: Divide both sides of the equation by 4 to isolate y:

\frac{4y}{4}  = \frac{4}{4}

y = 1.

<u>Step 3:</u> For Equation 2, x = 2y, substitute y = 1 into the equation to solve for x:

x = 2y  

x = 2(1)

x = 2  

Therefore, the solutions are:  x = 2, y = 1.

B. Find the solutions of each system of linear equations by elimination method:  

Equation 1:      2x + y = 8

Equation 2:        x + y = 5

<u>Step 1:</u> Multiply Equation 2 by 2:  

2(x + y) =  5(2)

2x + 2y = 10

<u>Step 2:</u> Subtract Equation 1 from the equation derived from Step 1,  2x + 2y = 10:

   2x + 2y = 10

-  <u>2x +  y  =   8</u>

        y =   2

Step 3: Plug in y =  2 into Equation 1, 2x + y = 8 to solve for x:

2x + y = 8

2x + (2) = 8

<u>Step 4:</u> subtract both sides of the equation by 2 to isolate x:

2x + 2 - 2 = 8 - 2

2x = 6

<u>Step 5:</u> Divide both sides of the equation by 2 to solve for x:

\frac{2x}{2}  = \frac{6}{2}

x = 3.

The solutions are: x = 3, y = 2.

C:

1. Inconsistent

2. Inconsistent  

3. Consistent (infinitely many solutions)

3 0
3 years ago
I multiply three positive integers that are greater than 1 and get 333. Find one of the numbers.
Artyom0805 [142]

Answer: 3, 37

Step-by-step explanation:

Divide by 3, divide by 3 again. 37 is a prime number, so it can't be divided again after that.

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