Find the ordered pair (j,k) that satisfies the equations 5j-42k=1 and 2k-j=3

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

To find the ordered pair (j, k) that satisfies the given equations, we can solve the system of equations simultaneously.

The equations are:

5j - 42k = 1

2k - j = 3

We can solve this system of equations using various methods, such as substitution or elimination. Here, we'll use the method of substitution:

From equation 2, we can express j in terms of k:

2k - j = 3

j = 2k - 3

Now, substitute this value of j into equation 1:

5j - 42k = 1

5(2k - 3) - 42k = 1

10k - 15 - 42k = 1

-32k - 15 = 1

-32k = 16

k = -0.5

Substitute this value of k back into equation 2 to find j:

2k - j = 3

2(-0.5) - j = 3

-1 - j = 3

j = -4

Therefore, the ordered pair (j, k) that satisfies the equations 5j - 42k = 1 and 2k - j = 3 is (-4, -0.5).

Related Questions

Please help me! I don’t understand these problems
Mrs Perry shares out 15 biscuites between Gemma and Zak in the ratio 1:4 How many biscuites do they get each? Gemma: Zak
What number should be added to the expression x^2 + 14x to change it into a perfect square trinomial? Can you help me with this?
Will mark brainliest.
12y = 4x + 8A=B=C=Can someone please help!!

-5x+y=-33x-8y=24
solve this for me someone (solving systems of equations by substitutions)
looking for x and y

Answers

(3)(-5x+y=-3)
(5)(3x-8y=24)

-15x+3y=-9
15x-40y=120

3y=-9
-40y=120

-37y=111
Divide both sides by -37

y=-3

To solve for x. Choose one equation from the given and plug what you get in Y.

I'll choose, -5x+y=-3
So, -5x+(-3)=-3
-5x=0
Divide both sides by -5
x=0/-5

Hope, this helps.

Sandra conducted an observational study to learn how relationships with family affect happiness. She surveyed 500 people in her hometown and found that 85% say that positive relationships with family members make them happy. What could be the conclusion of her study?

Answers

She may conclude that in her hometown, a majority of people experience greater happiness thanks to positive relationships. However, in order to apply this to a greater population, she will have to use a larger sample of people.

Since this is an observational study and not an experiment, she can only conclude that there may be a link between closeness with family and happiness but we cannot say that closeness with family results in happiness.

This dot plot shows the number of cakes sold each day in aunt alice's cake shop last month. what is the median number of cakes sold each day?

Answers

Answer:

The median is 2.

Step-by-step explanation:

I just did the test :)

Answer:

the answer should be 2

Step-by-step explanation:

Simplify sin(3x+13)=cos(4x)

Answers

Sin(3×+13)=sin(pi/2-4×)
3x+13 =pi/2 -4× or 3×+13 =pi-pi/2 + 4×
7× = pi/2 - 13 +k2pi or -× = pi/2 +k2pi
× = pi/14 - 13/7 k2pi/7 or X = -pi/2 + kpi

If the coordinates of point P are (0,8) and the coordinates of point Q are ( 4,2), Which of the following points represents the midpoint of PQ ?a) (0,2), b) (2,4), c) (2,5), d) (4,8), e) (4,10)

Answers

The coordinates of the midpoint are just the average of the endpoint coordinates ...
x-mid is the average of the end-x's, and y-mid is the average of the end-y's.

P. x = 0, y = 8
Q. x = 4, y = 2

'x' of the midpoint is the average of 0 and 4 = (1/2)(0 + 4) = 2

'y' of the midpoint is the average of 8 and 2 = (1/2)(8 + 2) = 5

The midpoint is (2, 5) .

That's choice-'c'.

There is midpoint formula for this problem:[ (x1+x2)/2, (y1+y2)/2 ], so all you need to do is plug in points given P(x1=0, y1=8) and Q(x2=4, y2=2), which is [ (0+4)/2, (8+2)/2 ]= [ 2, 5], so the answer is c)

Hope this helps!

Which equation represents the line that passes through the points (6 -3) and (-4 -9)

Answers

first of all you neeeeeed to make sure you know the formula for slope!
which is...
y2 - y1
m = -----------
x2 - x1

and since they already gave you two x and y coordinates this is really simple:) first of all you need to understand what is y2, y1, or x2, x1
taking the points (6,-3) i hope u understand that 6 is the x and -3 is the y. so knowing that information you always remember to use the information in the order that they gave it to you. i will add an extra link to help explain. Sooo then knowing that you plug it into the formula that I gave you earlier
so look at the next link that i made:)
so your slope is 6/5! or 1.2 as a decimal
hopefully you would know what an equation looks like but just in case this is it y = mx+b
so your equation looks like this y = 1.2x -3
where did i get the -3?
well look at first x and y coordinate thats your first y intercept:))
hope i helped!!.... and that this was right lol
let me know if it was correct thanks.

Other Questions

an employess new salary is 28,140 after getting 5% raise what was salary before increase _and what was last years salary _?

What is the common ratio of the following sequence?80, 20, 5,

What is 43% more than 600? Please show work

If y=3x +2 when X = 3 find the value