1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mamaluj [8]
3 years ago
12

Sketch a system of linear equations that has a solution of (-3, 7) on the coordinate grid provided. WILL GIVE BRAINIEST

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0

Answer:

y=x+10

y=-2x+1

(see attached picture)

Step-by-step explanation:

The idea of solving a system of equations graphically is taht both graphs cross each other at the same point.

The problem doesn't state so, but we can find the equations of the lines that pass through the desired point by using the point-slope form of the equation and by picking any slope we wish.

The slope-intercept form of a linear equation looks like this:

y-y_{1}=m(x-x_{1})

so let's use the following slopes: m_{1}=1 and m_{2}=-2. Remember, you can pick any slope you wish.

so now we can substitute the provided point (-3,7) and its respective slopes:

m_{1}=1

y-7=1(x-(-3))

y=x+3+7

y=x+10

this will be our first equation.

m_{2}=-2

y-7=-2(x+3)

y=-2x-6+7

y=-2x+1

so now we can plot the graphs of the given equations.

how to plot them? you can pick any x-value you like and use the provided equatioins to find the corresponding y-value. You plot the two points and build the graph.

Let's take the first equation:

y=x+10

and let's use the x-value x=0. We now substitute that into the equation so we get:

y=0+10

y=10

so now my two ordered pairs are (0,10) and (-3,7) so I can plot them on my graph and connect them with a straight line. (see attached picture.)

and we can follow the same procedure for the second graph.

let's use the x=0 again so we get:

y=-2(0)+1

y=1

so the ordered pairs are: (0,1) and (-3,7)

so we plot them to get our final graph (see attached picture)

Of course, this is one of the ways in which we can solve this problem. Since they are asking us to plot the graphs and not quite finding the equations for the system of equations, you could just draw any two lines you like and the answer would be correct as long as the two lines pass through the same point.

You might be interested in
Using the numbers 4.3, -1.07, and -2.917, write an expression containing both addition and subtraction that simplifies to a nega
Advocard [28]

Answer:

-1.07+(-2.917)-4.3=-8.287

Step-by-step explanation:

6 0
3 years ago
For what is the value of the rational expression below? X+20/x+4
Rus_ich [418]

Answer:

(4 + 20) / (4 + 4)  

= 24 / 8  

= 3

5 0
3 years ago
A $525 speaker now sells for 393.75 find the percent of change
asambeis [7]

Answer: The percent of change is 25%

Step-by-step explanation:

$525 - $393.75 = $131.25

131.25 (amount of change)/525 ( original amount) x 100

= 25%

5 0
3 years ago
Sherman goes golfing every 6^\text{th}6 th 6, start superscript, start text, t, h, end text, end superscript day and Brad goes g
nydimaria [60]

Answer:

In every 42 days,  Sherman and Brad will go golfing on the same day.

Step-by-step explanation:

Given:

Sherman goes golfing every 6th day.

Brad goes golfing every 7th day.

If they both went golfing today, we need to determine how many days unit they will go golfing on the same day again.

Solution:

In order to determine how many days unit Sherman and Brad will go golfing on the same day again, we will take least common multiple of 6 and 7.

To find least common multiple of 6 and 7, we will list out their multiples.

6=6,12,18,24,30,36,42

7=7,14,21,28,35,42

We find out that the least common multiple of 6 and 7 =42.

Thus, we can conclude that Sherman and Brad will go golfing on same days on every 42nd day after they meet..

7 0
3 years ago
Read 2 more answers
Find the percent increase from 200 to 240
vlabodo [156]

Answer:

  20%

Step-by-step explanation:

The percentage change can be found from ...

  % change = ((new value)/(reference value) -1) × 100%

  = (240/200 -1) × 100%

  = 0.20 × 100%

  = 20%

240 is an increase of 20% from 200.

3 0
3 years ago
Other questions:
  • The base ticket price for a football game is modeled by the function p(x) = 15x + 10, where x is the years since the team starte
    7·2 answers
  • Hey folks! I need some help with this exercise
    9·2 answers
  • What is the scale factor from polygon ABCD to polygon PQRS??
    8·1 answer
  • Which is the smaller unit of measurement foot or yard???
    5·1 answer
  • 4x-2y=-12 multiples by -1
    15·1 answer
  • Answer please.. - i'll give brainliest answer
    10·1 answer
  • Line goes through (8,-1) and has a slope of -3/4.
    14·1 answer
  • Mrs. Wong has 144 tiles that she is going to place on her square kitchen floor. If the tiles are $3.79 each, how much did Mrs. W
    10·2 answers
  • Marisol rolled a six-sided number cube 200 times. Her results are in the table shown.
    14·2 answers
  • A book has 25 pages. Lauren has read 5 pages. what fraction of the book has she read​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!