2y = x + 3 5y = x - 7 What is the solution set of the given system?

Answers

Answer 1

Answer: 2y = x + 3 then x = 2y - 3
5y = x - 7 then x = 5y + 7

so
2y - 3 = 5y + 7
2y - 5y = 7 + 3
-3y = 10
y = -10/3
y = -3 1/3

2y = x + 3
2 (-10/3) = x + 3
-20/3 - 3 =x
-29/3 = x
-9 2/3 =x
or
x = -9 2/3

solutions: x = -9 2/3 and y = -3 1/3

Answer 2

Answer:

Answer: the solution set would be {(-29/3, -10/3)}

Step-by-step explanation:

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The grade of a road is 7 percent. what angle does the road make with the horizontal

Answers

it goes up or down for every 7 units..... slope angle

Jasmine sold half of her Barbie doll Collectionand then bought 9 dolls. She now has 13 dolls.
Barbie dolls did she begin with?
How many

Answers

Answer: 8 dolls.

Explanation: 13 - 9 = 4, 4 x 2 = 8.

Work the equation backwards... she has bought 9 extra dolls to add on the the half of her original amount. Without the extra 9 dolls (13 - 9), Jasmine has half of her original amount left (4) and so to find the original amount of dolls, think that if 4 is half the amount, what is 4 half of? 4 is half of 8 and so 8 is the original amounting dolls she had.

If 2+xi=(x+1)+i, what is the value of xand can you please show me the breakdown?

Thanks!

Answers

$2+xi=(x+1)+i\n\nxi-x=1+i-2\n\nx(i-1)=i-1\ \ \ \ /:(i-1)\n\nx=(i-1)/(i-1)\n\nx=1$

$2+xi=x+1+i\n xi-x=-1+i\n x(i-1)=-1+i\n x=(-1+i)/(i-1)=\nx =(i-1)/(i-1)\n x=1$

rashid bought some baseball cards. after giving 7 cards to hos friend grace, he arranged the remaining cards in 6 rows of 4. how many cards did he buy?

Answers

35 cards. 7 X 4 = 28. Add the 7 he gave to his friend, and you get 35.

Please help me!!!

-x + (−3) = x + 3

Answers

Step-by-step explanation:

-x - 3 = x + 3

Solving like terms

-3 - 3 = x + x

-6 = 2x

-6 / 2 = x

-3 = x

Answer:

-3

Step-by-step explanation:

You are trying to solve for x in this situation. So the first thing you want to do is choose a side (it doesn't matter in this situation bc there is an x on either side of the =) and isolate the x.

**I'm going to choose the left side cause why not** Add the -3 to both sides to get -x by itself:

-x + (−3) = x + 3

-x -3= x+3

* quick side note, when you add a negative number to a positive, it has the same effect as subtracting

-x=x+6

Now -x is by itself but there is still another x, so combine like terms again:

-2x=6

Now simplify by dividing -2 to both sides:

x=-3

The graph below shows the velocity f(t) of a runner during a certain time interval:graph of line segment going through ordered pairs 0, 6 and 6, 8. Graph of another line segment going through the ordered pairs 6, 8 and 8, 0. Label on the x axis is time in seconds and label on the y axis is velocity in meters per second

Which of the following describes the intercepts on the graph?

The initial acceleration of the runner was 8 m/s2, and the runner stopped after 6 seconds.

The initial acceleration of the runner was 6 m/s2, and the runner stopped after 8 seconds.

The initial velocity of the runner was 8 m/s, and the runner stopped after 6 seconds.

The initial velocity of the runner was 6 m/s, and the runner stopped after 8 seconds.

Answers

When graphs are plotted, graphs as in the .jpeg image in attachment are obtained.
First graph is line going through ordered pair (point) (0,6) and pair (6,8).
The second graph is line going through ordered pair (6,8) and pair (8,0).
Intercept of these graphs is point (ordered pair) (6,8).
You see from the .jpeg image that the following is true:
Initial velocity of the runner is 6 meters per second (runner starts with this velocity), for a while he runs, velocity grows, then in the 6th second (time=6), runner starts to slow down and velocity starts to decrease, and runner stops totally at time = 8.
So runner stops after 8 seconds.
The 4th claim (sentence) is correct.

First you draw the graph described by the problem to see a better picture of the situation. From the problem the points on the graph are (0,6), (6,8) and (8,0). The first point meant that at time zero the velocity is 6m/s. Then when time is at 8 sec the velocity is zero. The answer to the question is the last choice.

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