(4x – 6°) (x + 6y)" Solve for y.

Mathematics

1 answer:

12345 [234]3 years ago

4 0

Answer:

Simplifying

(4x + -6) = (x + 6y)

Reorder the terms:

(-6 + 4x) = (x + 6y)

Remove parenthesis around (-6 + 4x)

-6 + 4x = (x + 6y)

Remove parenthesis around (x + 6y)

-6 + 4x = x + 6y

Solving

-6 + 4x = x + 6y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

-6 + 4x + -1x = x + -1x + 6y

Combine like terms: 4x + -1x = 3x

-6 + 3x = x + -1x + 6y

Combine like terms: x + -1x = 0

-6 + 3x = 0 + 6y

-6 + 3x = 6y

Add '6' to each side of the equation.

-6 + 6 + 3x = 6 + 6y

Combine like terms: -6 + 6 = 0

0 + 3x = 6 + 6y

3x = 6 + 6y

Divide each side by '3'.

x = 2 + 2y

Simplifying

x = 2 + 2y

You might be interested in

Which number line best shows how to solve −2 − (−10)? A number line from negative 10 to 10 is shown with numbers labeled at inte

Viktor [21]

Answer:

Ur answer is #1 = A number line from negative 10 to 10 is shown with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 2. Another arrow points from negative 2 to 8.

Step-by-step explanation:

The arrow from 0 to -2 represents the initial "-2" of the problem. <em>Adding </em>-10 would put an arrow of length 10 from that point to the left to -12. However, you are <em>subtracting </em>-10, so that arrow is reversed and goes from -2 to +8.

7 0

2 years ago

Please show me how to start this question but don't give me the answer

Natalija [7]

To make the input-output table, we need to plug in the given vaues of x's in the equation to get their corresponding values of y.

Let's plug in x = -2 in y = 6x +5. So,

y = 6( -2) + 5 = -12 + 5 = -7

Similarly for x = 0, y= 6(0) + 5 = 5

For x = 1, y = 6(1) + 5 = 6 + 5 = 11

For x = 4, y = 6(4) + 5 = 24 + 5 = 29

For x= 5, y = 6(5) + 5 = 30 + 5 = 35.

I am attaching the input -output table from the above result.