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
Sergeu [11.5K]
1 year ago
13

Solve the following system of equations by graphing. Then determine whether the system is consistent or inconsistent and whether

theequations are dependent or independent. If the system is consistent, give the solution.6x + 6y = -30( 3x + 3y = -15

Mathematics
1 answer:
Olenka [21]1 year ago
7 0

Recall that the slope-intercept form of the equations of a line is:

y=mx+b\text{.}

Taking both equations to their slope-intercept form we get:

\begin{gathered} 6x+6y-6x=-30-6x, \\ 6y=-30-6x, \\ \frac{6y}{6}=-\frac{30}{6}-\frac{6}{6}x, \\ y=-x-5\text{.} \end{gathered}\begin{gathered} 3x+3y-3x=-15-3x, \\ 3y=-15-3x, \\ \frac{3y}{3}=-\frac{15}{3}-\frac{3}{3}x, \\ y=-x-5. \end{gathered}

Notice that both equations are the same, therefore the system has infinitely many solutions, therefore it is consistent and dependent.

Answer:

Equations:

\begin{gathered} y=(-1)x+(-5), \\ y=(-1)x+(-5)\text{.} \end{gathered}

The system is consistent and dependent.

A solution to the system is (0,-5).

You might be interested in
Heather collects shells. The picture shows the 18 shells that she found on her family beach vacation. She wants to use all of
IRISSAK [1]
Answer:
D) 9 postcards with 2 shells each.

Explanation:
9 x 2 = 18
Therefore, 9 postcards with 2 shells each is the correct answer.

Please give brainliest.
6 0
3 years ago
Which equation models this problem?
OLEGan [10]
A 8p = 48.80
Since Susan paid for 8 dish towels, p. Then the 8 dish towels = $48.80
4 0
3 years ago
Read 2 more answers
How many four-character passwords can be formed using the characters A, B, C, 1, 2 if the characters can be repeated
olga55 [171]
<h3>Answer: 625</h3>

Work Shown:

The set {A,B,C,1,2} has five items. There are four slots to fill.

So we have 5^4 = 5*5*5*5 = 625 different possible passwords where the characters can be repeated.

7 0
3 years ago
The longest side of a triangle is 5 inches longer than the shortest side. The medium side is 2 inches longer than the shortest s
Rom4ik [11]
If we refer to the longest side as x and the shortest side as y and the medium side as z then we come up with this formation:

x+y+z= 22

y is shorter than x by 5 inches so y= x-5

z is longer than y by 2 inches therefore z= x-5 +2

therefore:
x+(x-5)+(x-5+2)=22
x+x-5+x-5+2=22
3x-8=22
3x= 22-8
3x=14
x=
\frac{14}{3}

replace x in y and z in previous formations
5 0
3 years ago
Find BC. Round the answer to the nearest tenth.<br> A. 1.1<br> B. 1.9<br> C. 2.3<br> D. 2.8
Katyanochek1 [597]

Answer:

A:1.1 I had the same answer

4 0
2 years ago
Other questions:
  • On the basis of extensive tests, the yield point of a particular type of mild steel-reinforcing bar is known to be normally dist
    14·1 answer
  • A flat screen television has a 50 inch diagonal and a height of 25 inches. How wide is the television rounded to the nearest ten
    12·1 answer
  • I'm stuck on this question. Which is a graph for the inequality x &gt; 2?
    6·1 answer
  • What are the numbers when rounded to the nearest thousand are 50,000
    14·2 answers
  • Answer right and get brainliest and get a thanks ! :-)
    14·2 answers
  • I idk how to put this please help me understand better
    13·1 answer
  • Write an equation to represent the phrase: 83 is equal to two times a
    10·2 answers
  • Please help me on this will give you brainliest!!
    14·1 answer
  • A new sweater cost $15.99.. If the sweater was on sale for 1/4 off it's price, about how much would you save?
    10·2 answers
  • Select all the equivalent ratios of 3:1
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!