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3 years ago

1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 24. How old is each

Mathematics

1 answer:

Andre45 [30]3 years ago

5 0

Answer:

a) Let Kim's age be k, then Kim's sister's age is k/2

k+ $\frac{k}{2}$ =24

b) k+ $\frac{k}{2}$ =24

1 $\frac{1}{2}$ k=24

k=16

$\frac{k}{2}$ =8

Kim's age is 16 while her sister's age is 8.

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Solve the system of equations:

Nutka1998 [239]

Answer:

Step-by-step explanation:

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2 years ago

Please tell me the slope ontercept forn of this equation step by step 11x-4y=32

Afina-wow [57]

Answer:

Gradient is 11/4 and y intercept -8

Step-by-step explanation:

11X -4Y =32

transfer 11x on other side

-4y = -11x +32

multiply all termsby -1 so that coefficient of y is positive

4Y = 11X -32

DIVIDE ALL TERMS BY 4

Y = (11/4)X -8

COMPARE THIS WITH Y=mX +C

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Gradient is 11/4 and y intercept -8

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3 years ago

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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.

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

Step 1: 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.

Step 3: 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

Step 1: Multiply Equation 2 by 2:

2(x + y) = 5(2)

2x + 2y = 10

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

2x + 2y = 10

- 2x + y = 8

y = 2

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

2x + y = 8

2x + (2) = 8

Step 4: subtract both sides of the equation by 2 to isolate x:

2x + 2 - 2 = 8 - 2

2x = 6

Step 5: 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.

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2. Inconsistent

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3 years ago

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AnnyKZ [126]

Answer:

A, B and C (close examination)

Step-by-step explanation:

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The problem is looking for an equation that have the variable m by itself

D is out of the picture because the equations does not have m by itself

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