Is the equation y=2/x linear? Explain.

1 answer:

4 0

It is not linear.
In a linear equation, you cannot divide by a variable.
Here you are dividing by x, so the equation is not linear.

You might be interested in

Twice sum of j and 4?

andrew11 [14]

Answer:

2j+8

Step-by-step explanation:

2(j+4) . use distributive property

2j+8

8 0

2 years ago

Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.

blagie [28]

A.
$5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
5x-4=-2 \times 3x-2 \times 2 \\
5x-4=-6x-4 \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 6x to both sides} \\
11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\
11x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 11} \\
x=0$

B.
$3(2x-4)=5x-1 \\
6x-12=5x-1 \\
\boxed{11x-12=-1} \Leftarrow \hbox{the first mistake} \\
11x=11 \\
\boxed{x=11} \Leftarrow \hbox{the second mistake}$

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
$3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\
x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 12 to both sides} \\
x=11$

3 0

3 years ago

Question is in picture and is my final! Due in a hour and is 40% of my grade! Will give BRAINLIEST and extra pointsss!

tatyana61 [14]

If he scored all 2 pointers, it would be 26. If he scored all 3 pointers,it would be 39.

28-x=y

4 0

2 years ago

Suppose your friend's parents invest $20,000 in an account paying 4 % compounded annually. What will the balance be after 5 ye

musickatia [10]

You got to Round it to the 10 & all that

6 0

3 years ago

G(x)=-x^2-1-2x<br> f(x)= x+5<br> Find (g-f)(x)

sertanlavr [38]

Djdhhggfgcsdddhgdfgccfgfdgxstgdrg

4 0

3 years ago