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
fiasKO [112]
3 years ago
15

Find the coordinates of the points of intersection of the graphs without building them: 5x–4y=16 and x–2y=6

Mathematics
1 answer:
Genrish500 [490]3 years ago
3 0

\bf \begin{cases} 5x-4y=16\\ \cline{1-1} x-2y=6\\ \boxed{x}=6+2y \end{cases}~\hspace{7em}\stackrel{\textit{substituting \underline{x} in the first equation}}{5\left( \boxed{6+2y} \right)-4y=16} \\\\\\ 30+10y-4y=16\implies 30+6y=16\implies 6y=-14 \\\\\\ y=-\cfrac{14}{6}\implies y=-\cfrac{7}{3}\implies \blacktriangleright y=-2\frac{1}{3} \blacktriangleleft \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{since we know that}}{x=6+2y}\implies x=6+2\left( -\cfrac{7}{3} \right)\implies x=6+\left(-\cfrac{14}{3} \right) \\\\\\ x=6-\cfrac{14}{3}\implies x=\cfrac{18-14}{3}\implies x=\cfrac{4}{3}\implies \blacktriangleright x=1\frac{1}{3} \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left( 1\frac{1}{3} ~,~-2\frac{1}{3}\right)~\hfill

You might be interested in
What methods could you use to calculate the x-coordinate of the midpoint of a horizontal segment with the endpoints of (-20, 0)
Ronch [10]
The coordinates (abscissa and ordinates) of the midpoint of the line segment is the average of the abscissas and the ordinates, respectively. Therefore, the x - coordinate of the midpoint is equal to -20 + 20 or 0 by 2 which is zero. The answer is letter E. 
7 0
3 years ago
Read 2 more answers
Polygon ABCD has the following vertices: A(−3, 3), B(5, 5), C(5, −4), and D(−3, −4) Calculate the area of the polygon.
aniked [119]

To solve this problem you must apply the proccedure shown below:

1. When you plot the given points, you obtain a trapezoid, therefore, you must apply the formula for calculate the area of a trapezoid, which is:

A=\frac{(B+b)h}{2}

Where B is the larger base, b is the smaller base and h is the height.

2. The dimensions are:

B=9units\\ b=7units\\ h=8units

3. Substitute values:

\\A=\frac{(9 units+7units)(8units)}{2}  A=64 units^{2}

The answer is: 64 units^{2}

6 0
3 years ago
Read 2 more answers
Jacob earns $7.25 an hour at his part-time job, and earns $9 each time he mows the lawn for his mother. He graphs the amount of
olchik [2.2K]

Answer: $7.25 at part-time job

$9.00 every time lawn mowed

so he would get 33.33 day so we will just say 33 times to get 300 dollars if he gets $9 for mowing. And 41.37 hours to get $300 and he would have to use x and y graph to find the boundary line.

Step-by-step explanation:

7 0
2 years ago
Volume of a cube size 7cm​
JulijaS [17]

Answer:

343 cm3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the distance between A and B?
ser-zykov [4K]
What’s the numbers or do you have a picture?
7 0
2 years ago
Other questions:
  • What is (2+y)³ written out?
    12·1 answer
  • How to factor -12n -20
    9·2 answers
  • the diagonal of a rectangular picture frame is 12 inches and it's length is 9 inches what is the width of the picture frame ?
    7·1 answer
  • AD = 4, BC = 5, AB + DC = 12. Найти AB, DC, AC.
    13·1 answer
  • 3. Kasey Marsenburg is a financial consultant for ABC Finance.
    15·1 answer
  • The area of this rectangle is given by the quadratic function
    10·1 answer
  • PLEASE HELP ME GUYS ×0×<br><br>Find the RATIO and the EXACT VALUE of the given Tan A.​
    14·1 answer
  • Answer to this please? There are multiple I believe.
    10·2 answers
  • Hello every everyone I have a new question I trued to get this question but it's all wrong so if you know this answer can you pl
    5·2 answers
  • Simplify PLEASE HELP ASAP
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!