Question

Find the values of the variables

Show your work please!!

Answer 1

Answers:

• k = -5
• w = 8 or w = -8 (both are valid)
• f = -10

Explanation

The upper left corner entries -10 and 2k match up, and are equal (otherwise the matrices overall wouldn't be equal).

-10 = 2k

2k = -10

k = -10/2

k = -5

Use this idea to find the other variables.

In the upper right corners we have -w^2 and -64. The equation -w^2 = -64 solves to w = 8 or w = -8.

In the lower left corners we have 2f and -20. The equation 2f = -20 solves to f = -10

Answer 2

k = -5

w = ± 8

f = -10

Explanation:

To find the values of the variable, we need to compare their respective corresponding value.

While comparing, we get

-10 = 2k

Dividing both sides by 2.

`\sf (-10)/(2)=(2k)/(2)`

k = -5

Similarly

- w² = - 64

Multiply both sides by -1.

We get

- w² × -1 = -64 × -1

w² = 64

Take square root on both sides:

`\sf √(w^2)=√(64)`

w = ± 8

And

2f = -20

Dividing both sides by 2.

`\sf (2f)/(2)=(-20)/(2)`

f = -10

Therefore, value of variables are:

• k = -5
• w = 8
• f = -10