All categories

4 years ago

Why is it necessary to apply inverse operations on both sides of the equals l sign when solving an equations

1 answer:

8 0

Take this example (cause it's easy to explain)

10+5x=15x

To solve it we have to minus five on both side. We have to do this because we need to isolate the variable (in this case x) on the one side so we can divide and solve.

You would -5x (inverse from positive 5) from both sides on this because whatever you do to one side you have to do to the others to make it equal. In this case the answer would be x=1 (again cause it's easy lol.)

I hope this helps you!

You might be interested in

If y varies inversely as x, and y=6 when x=3. Then find the value of y when x=32

s2008m [1.1K]

Answer: y = 18/32

Step-by-step explanation: Okay the equation is xy = k

You plug in x and y.

(3)(6) = k

18 = k

To get the value of y when x = 32 you plug in 32.

Use this equation now y = k/x

Now it is y = 18/32

And that is your answer!

7 0

3 years ago

Mhanifa please help fast

Shkiper50 [21]

Answer:

a is supplementary with 36 and b is supplementary with 113.

a = 180 - 36 = 144
b = 180 - 113 = 67

Correct choice is D

LM = 1/2(AB + DC) = 1/2(46 + 125) = 85.5

Diagonals of a rectangle are congruent

KM = LN
6x + 16 = 49
6x = 33
x = 33/6
x = 5.5

Correct choice is A

8 0

3 years ago

Subtract: 6/2x^+8x - x/4x^+12x-16 = 6/2x(x+4) - x/4(x+4)(x-1) = 6•2(x-1)/2x(x+4)•2(x-1) - x•x/4(x+4)(x-1)•x

ss7ja [257]

Answer:

$\frac{-x^2+12x-12}{4x(x+4)(x-1)}$

Step-by-step explanation:

$\frac{6}{2x(x+4)}- \frac{x}{4(x+4)(x-1)}$

$\frac{6\cdot2(x-1)}{2x(x+4)\cdot2(x-1)}- \frac{x\cdot x}{4(x+4)(x-1)x}$

$\frac{12(x-1)}{4x(x+4)(x-1)}- \frac{x^2}{4x(x+4)(x-1)}$

$\frac{12(x-1)-x^2}{4x(x+4)(x-1)}$

$\frac{-x^2+12x-12}{4x(x+4)(x-1)}$

5 0

4 years ago

Sally ran 2 % miles in 12 hour. What is her<br> speed in miles per hour?

andreev551 [17]

Answer:

Step-by-step explanation:

if you're saying she ran .2 miles in 12 hours

then she ran .016 miles per hour

if you're saying she ran 2 miles in 12 hours,

then she ran 1/3 mile per hour or 0.3333 miles per hour

7 0

3 years ago

In an injection-molding operation, the length and width, denoted as X and Y, respectively, of each molded part are evaluated. Le

nika2105 [10]

Answer:

attached below

Step-by-step explanation:

Attached below are the Venn diagrams

A : 48 < X < 52 cm

B : 9 < Y < 11 cm

a) A

b) A ∩ B

c) A' ∪ B

d) A ∪ B

e) for events to be mutually exclusive it means that both events can not occur simultaneously i.e. A ∩ B = 0

the process would not be successful hence the process would not produce parts with X = 50 cm and Y = 10 cm

6 0

3 years ago