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olchik [2.2K]
2 years ago
11

Given the linear equation 2x + y = 6, write another linear equation in two variables such that these two equations when represen

ted geometrically form parallel lines.
Mathematics
1 answer:
Furkat [3]2 years ago
5 0

Answer:

The family of lines that are parallel to 2\cdot x + y = 6 is of the form 2\cdot x + y = k, \,k\neq 6. A possible solution is 2\cdot x + y = -2.

Step-by-step explanation:

Let be 2\cdot x + y = 6 the equation of a line, another line is parallel to it if and only if it is of the form:

2\cdot x + y = k, \,k\neq 6  (1)

Then, a possible solution is 2\cdot x + y = -2.

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3 years ago
(6x −9)3−1=((6x−9)3)(0) Solve for X
Tasya [4]

Answer:

Step-by-step explanation:

Remark

Anything multiplied by 0 = 0. So the whole right side is 0.

(6x - 9)*3 - 1  = 0                       Add 1 to both sides.

(6x - 9)*3 - 1 + 1 = 0 + 1             Combine

(6x - 9)*3 = 1                             Divide both sides by 3

(6x - 9)*3/3 = 1/3                      Simplify

(6x - 9) = 1/3                             Remove brackets. Add 9 to both sides

6x - 9+9 = 9 1/3                        Combine

6x = 9 1/3

6x = 28/3                                   Divide both sides by 6

6x / 6 = 28/3 // 6                       Invert the 6 and multiply.

x = 28/3 * 1/6

x = 28/18

Answer

x = 14/9

6 0
2 years ago
Help me please!!!!!!!
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Answer:

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Step-by-step explanation:

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3 0
2 years ago
each person in Ellen's family drinks 8 1/3 ounces of water. If 5 people are in Ellen's familly., how many ounces of watet do the
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Answer is 43 5/3 because multiply 8 1/3 into 5 ...
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3 years ago
Read 2 more answers
This table models a linear function. x −8 −4 4 8 y −3 0 6 9 Enter the coordinates of the y-intercept in the boxes.
adell [148]

Answer:

y-intercept is 3

Step-by-step explanation:

We are given table

x: -8  -4  4  8

y: -3   0   6  9

We can select any two points

x_1=-8,y_1=-3

x_2=-4,y_2=0

Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug values

m=\frac{0+3}{-4+8}

m=\frac{3}{4}\quad

now, we can use point slope form of line

y-y_1=m(x-x_1)

we can plug values

y+3=\frac{3}{4}(x+8)

now, we can solve for y

y=\frac{3}{4}x+3

For finding y-intercept , we can plug x=0

y=\frac{3}{4}\times 0+3

y=0+3

y=3

So,

y-intercept is 3

8 0
3 years ago
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