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mario62 [17]
2 years ago
7

Solve the following linear equation. Explain every step in the process.

Mathematics
2 answers:
Bad White [126]2 years ago
6 0

Answer:

X= -44

Step-by-step explanation:

Multiply parenthesis by 2. Distribute 2 through the parenthesis. Collect like terms. Calculate the difference. Move variable to the left side and change it's sign. Move constant to the right side and change it's sign. Collect like terms. Add the numbers. Change the signs on both sides of the equation. Then you'll get X= -44

Wittaler [7]2 years ago
5 0

Answer:

44/7

Step-by-step explanation:

First, carry out the indicated multiplication, using the Distributive Property of Multiplication:

-4x + 2(3x – 1) - 12 = 3x + 30 becomes:

-4x + 6x – 2 - 12 = 3x + 30

Next, combine all the x terms and all the constants.  We get:

10x - 14  = 3x + 30, or 7x = 44

Dividing both sides by 7 yields x = 44/7.

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4.9t+0.3=5.6t+0.72 I need help on my work lol
Whitepunk [10]

The first step that we must take before attempting to solve the problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal.  Although it does not explicitly state that we must solve for t, this is usually what the problem statement would be asking if we just receive and expression like this.  What is given to us to accomplish that goal is the expression 4.9t+0.3=5.6t+0.72.

Now that we have completed that step, we can move onto the next part which is actually solving the problem.  The next step that we should take when solving for the unknown, in this case t, is to subtract 4.9t from both sides.

<u>Subtract 4.9t from both sides</u>

  • 4.9t+0.3=5.6t+0.72
  • (4.9t-4.9t)+0.3=(5.6t-4.9t)+0.72
  • 0.3=(5.6t-4.9t)+0.72
  • 0.3=(0.7t)+0.72

Now that we got all of the t's to one side, let us isolate t completely and the next step that we should take is to subtract 0.72 from both sides.

<u>Subtract 0.72 from both sides</u>

  • 0.3=0.7t+0.72
  • 0.3 - 0.72=0.7t+0.72 - 0.72
  • 0.3 - 0.72=0.7t
  • -0.42=0.7t

The final step that we need to take to isolate t would be to divide both sides by 0.7 which would remove the coefficient from the unknown variable t and divide 0.7 from -0.42

<u>Divide both sides by 0.7</u>

  • -0.42=0.7t
  • \frac{-0.42}{0.7}=\frac{0.7t}{0.7}
  • \frac{-0.42}{0.7}=t
  • -0.6=t

Therefore, after fully narrowing down the solution we were able to determine that the solution of the unknown variable or t is equal to -0.6

5 0
2 years ago
Find the equation of the line that passes through (1,4) and is parallel to 3x+y+2=0. Leave your answer in the form y=mx+c.
Mila [183]

Answer:

y = -3x + 7.

Step-by-step explanation:

First find the slope of the given line by converting to intercept form:

3x + y + 2 = 0

y = -3x - 2

So the slope is -3.

Then the line we want has a slope of -3 also (as it is parallel).

y - y1 = m(x - x1)   where m is the slope and (x1, y1) is a point on the line:

m = -3,  x1 = 1 and y1 = 4, so we have:

y - 4 = -3(x - 1)

y = -3x + 3 + 4

y = -3x + 7.

3 0
2 years ago
Is there a transformation that maps shape 1 onto shape 4?
Llana [10]

Answer:

1 place to the left and 2 places down

Step-by-step explanation:

(+1,-2)

5 0
3 years ago
The larger leg of a right triangle is 2 feet longer than its smaller leg. The hypotenuse is 4 feet longer than the smaller leg.
maks197457 [2]
Hope it helps you:))

7 0
3 years ago
Find the slope of the line that contains the following pair of points. (3, 4) (3, -7)
mojhsa [17]
Negative 3 is the answer
8 0
3 years ago
Read 2 more answers
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