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3 years ago

Graph the linear equation. Find three points that solve the equation, then plot on the graph. -3y=x-6

Mathematics

1 answer:

nata0808 [166]3 years ago

6 0

Answer:

Step-by-step explanation: x - 6

The given equation can be re-written as y = ---------

-3

Arbitrarily choose x = 0. Then:

x - 6 0-6

y = --------- = ----------- = 2, so (0, 2) is a point on the graph which is also the

-3 -3 y-intercept

Arbitrarily choose x = 6. Then y = 0, and (6, 0) is another point on the graph

which happens to be the x-intercept

arbitrarily choose x = 12. Then y = (12 - 6) / (-3) = -2. Then (12, -2) is

another point on the

graph.

Plot (12, -2), (6, 0) and (0, 2). Draw a line through these three points.

You might be interested in

Which constants could each equation be multiplied by to eliminate the x-variable using addition in this system of equations? 2 x

balu736 [363]

Answer:

The first equation can be multiplied by 3 and the second equation by 2.

Step-by-step explanation:

We are given the following system of equations:

$\boxed{\left \{ {{2x+3y=25} \atop {-3x+4y=22}} \right.}$

To eliminate a variable in the equation, they must cancel out. For instance, if x = 1, in order to cancel out the numbers, you must add -1.

To multiply an equation, you must apply the constant that you are multiplying by to all constants and coefficients of the equation. For example, to multiply 2x + 4y = 8 by 3, you must multiply 2x by 3, 4y by 3, and 8 by 3.

Therefore, using this information, you can attempt each answer set and test the possibilities.

Answer Choice A

If you multiply the first equation by -3, you will get -6x - 9y = -75. If you multiply the second equation by 2, you will get -6x + 8y = 44. Adding -6 + -6 gives you -12, so these do not cancel out.

Answer Choice B

If you multiply the first equation by -4, you will get -8x - 12y = -100. If you multiply the second equation by 2, you will get -6x + 8y = 44. Adding -8 + -6 gives you -14, so these do not cancel out.

Answer Choice C

If you multiply the first equation by 3, you will get 6x + 9y = 75. If you multiply the second equation by 2, you will get -6x + 8y = 44. Adding 6 + -6 gives you 0, so these do cancel out.

Answer Choice D

If you multiply the first equation by 4, you will get 8x + 12y = 100. If you multiply the second equation by -3, you will get 9x - 12y = -66. Adding 8 + -9 gives you -1, so these do not cancel out.

8 0

2 years ago

PLEASE HELP ASAP I'LL MARK BRAINIEST

zlopas [31]

Answer:

I believe the answer is B not sure tho

Step-by-step explanation:

Hope this helps!

3 0

2 years ago

Read 2 more answers

A vertical parabola goes through (1,-2), (-3, 10), and (4, 31). Use matrices to

Elenna [48]

Answer:

D = 1/2 , E = -1/2 , F = -5/2

Step-by-step explanation:

vertical parabola : ( 1,-2), ( -3, 10 ), (4, 31 )

General form ; $x^2 + y^2 + Dx + Ey + F = 0$

( 1 ,-2 ) = x1, y1

( -3, 10 ) = x2, y2

( 4, 31 ) = x3, y3

hence :

$y1 = ax_{1} ^2 + bx_{1} + c$

$y2 = ax_{2} ^2 + bx_{2} + c$

$y3 = ax_{3} ^2 + bx_{3} + c$

attached below is the detailed solution required

D = 1/2 , E = -1/2 , F = -5/2

8 0

3 years ago

A master electrician earns $62 per hour. His apprentice earns $40 per hour. The master electrician works 3 hours more than the a

kow [346]

Let x be the number of hours the master electrician works and y the numbers of hours his apprentice works.

The master electrician earns $62 per hour, which means that he earns 62x.
His apprentice earns $40 per hour, which means that he earns 40y.

Together they are paid $492, so we can get the equation:
62x + 40y = 492.

We know that the electrician worked 3 hours more than his apprentice. So he worked x = y + 3 hours. Now let's replace x by its new value in the previous equation.

62x + 40y = 492
62(y+3) + 40y = 492
62y + 186 + 40y = 492

Now we need to put variables apart and numbers apart, so we subtract 186 from both sides of the equation:
62y + 40y + 186 - 186 = 492 - 186
102y = 306

Now we divide both sides by 102
(102y)/102 = 306/102
y = 3

So the apprentice worked 3 hours.
As we already mentioned, the electrician worked 3 hours more than his apprentice.
So he worked x = y + 3 = 3+3 = 6 hours.

The master electrician earns $62 per hour. Since he worked 6 hours, he earns 62 * 6 = 372 dollars.

So the master electrician earns $372 (Option D)

Hope this helps! :)

6 0

3 years ago

Read 2 more answers

(PLEASE HELP ASAP!!)

AysviL [449]

I believe the answer is 21. I can tell you how I got the answer if you want.

7 0

2 years ago

Read 2 more answers