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Contact [7]
3 years ago
11

How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?

Mathematics
2 answers:
Ratling [72]3 years ago
5 0

Answer:

The Equation is

- 4 x - 11 = 2 (x - 3 x) + 13

→ - 4 x - 11= 2 x - 2* 3 x + 13⇒⇒Using Distributive property of multiplication over subtraction which is , A * (B - C) = A*B - A*C

Bringing variables on one side and Constants on another side

→ - 4 x - 2 x + 6 x = 13 +11

→ - 6 x + 6 x = 24

0 =24

which is not possible.

Hence this equation has no solution.

If you look at the equation in the way

L HS= - 4 x - 11

A= - 4 x -11

R H S = 2 *(x - 3 x) + 13

B= 2 * (- 2 x) +13

 = - 4 x + 13

Both L HS and R H S, if looked individually represent lines in two dimensional plane, having equal slopes and different Y intercept.

So, the two lines are parallel.

Parallel lines do not intersect.

So, the equation has no solution.

Allushta [10]3 years ago
4 0
-4x - 11 = 2(x - 3x) + 13
-4x - 11 = 2x - 6x + 13
-4x - 11 = -4x + 13
-4x + 4x = 13 + 11
0 = 24...incorrect......no solutions for this problem
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Bess [88]

Answer:

only (-4,0) is a reasonable solution.

Step-by-step explanation:

In order to see which ones are reasonable we need to apply the points to the system and check if they make both equations valid at the same time.

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y = x² + x - 12

For (-4, 0):

0 = -(-4) - 4 -> 0 = 4 -4 -> 0 = 0 (valid)

0 = (-4)² - 4 - 12 -> 0 =  16 - 16 -> 0 = 0 (valid)

For (-3, -1):

-1 = -(-3) -4 -> -1 = 3 -4 -> -1 = -1 (valid)

-1 = (-3)² -1 - 12 -> -1 = 9 -13 -> -1 = -4 (invalid)

For (2, -6):

2 = -(-6) - 4 -> 2 = 6 -4 -> 2 = 2 (valid)

2 = (-6)² -6 -12 -> 2 = 36 -18 -> 2 = 18 (invalid)

Therefore only (-4,0) is a reasonable solution.

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3 years ago
Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair. (Remember the
marusya05 [52]

The slope of the given linear equation is 1/3 and the y-intercept will be 5/6. Then the correct option is D.

<h3>What is the slope?</h3>

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair.

The linear equation is given below.

\rm  y =\dfrac{5}{6} + \dfrac{x}{3}

Then the slope of the equation will be 1/3.

And the y-intercept will be 5/6.

More about the slope link is given below.

brainly.com/question/3605446

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Answer:

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Step-by-step explanation:

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That makes 21 mi/wk x 12 weeks = 252 miles.

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So, we divide 252 miles by 0.621 mile/km to get= 405.80 km

Dividing miles by miles/km gives us the unit we want (km).

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