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
tiny-mole [99]
3 years ago
7

X + 2y = –6 3x + 8y = –20

Mathematics
1 answer:
Kay [80]3 years ago
3 0
What do you want to calculate?

CALCULATE IT!
Solve
Graph
Lesson

Problem:
Solve
x
+
2
y
=
−
6
;
3
x
+
8
y
=
−
20
Steps:
I will solve your system by substitution.
(You can also solve this system by elimination.)
x
+
2
y
=
−
6
;
3
x
+
8
y
=
−
20
Step: Solve
x
+
2
y
=
−
6
for x:
x
+
2
y
+
−
2
y
=
−
6
+
−
2
y
(Add -2y to both sides)
x
=
−
2
y
−
6
Step: Substitute
−
2
y
−
6
for
x
in
3
x
+
8
y
=
−
20
:
3
x
+
8
y
=
−
20
3
(
−
2
y
−
6
)
+
8
y
=
−
20
2
y
−
18
=
−
20
(Simplify both sides of the equation)
2
y
−
18
+
18
=
−
20
+
18
(Add 18 to both sides)
2
y
=
−
2
2
y
2
=
−
2
2
(Divide both sides by 2)
y
=
−
1
Step: Substitute
−
1
for
y
in
x
=
−
2
y
−
6
:
x
=
−
2
y
−
6
x
=
(
−
2
)
(
−
1
)
−
6
x
=
−
4
(Simplify both sides of the equation)
Answer:
x
=
−
4
and
y
=
−
1
You might be interested in
Joan took her three children to the zoo. Admission is $7 each. The snack bar sells water for $2 per bottle and chips for $3 per
lys-0071 [83]

The expression for the total cost of their trip is 7 + 2x + 3y.

As per the question, assuming the number of bottles to be x and number of bags to be y. The equation will have one time fee of admission, product of cost of bottles and number of bottles and product of cost of bags and number of chips bags.

The one time fee and two products will be added to form the expression. Forming the equation now -

Expression = 7 + 2x + 3y

Therefore, the expression of trip when x bottles of water were bought during the visit is 7 + 2x + 3y.

Learn more about expression -

brainly.com/question/723406

#SPJ9

8 0
9 months ago
Angl is a square. The equation of line NG is Y= 1/2 X - 6. Find the equation of line LG in slope intercept form given that the c
Irina18 [472]

Answer: y=-2x-9

Step-by-step explanation:

If ANGL is a square, then NG and LG are adjacent sides.

Adjacent sides are perpendicular.  [Each angle is 90°]

The equation of line NG is Y=\dfrac12 X-6.

By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)

slope =\dfrac12

Let slope of LG be <em>n</em>, then

n\times \dfrac{1}{2}=-1 [Product of slopes of two perpendicular line =-1]

\Rightarrow n=-2

Equation of a line passes through (a,b) and have slope m is given by :-

(y-b)=m(x-a)

Equation of LG :

(y-1)=-2(x-(-5))\\\\\Rightarrow\ y-1=-2x-10\\\\\Rightarrow\ y=-2x-9 [In intercept form]

3 0
3 years ago
Lily is a botanist who works for a garden that many tourists visit. The function f(s) = 2s + 30 represents the number of flowers
Vesnalui [34]

Answer:

  A. b(w) = 80w +30

  B. input: weeks; output: flowers that bloomed

  C. 2830

Step-by-step explanation:

<h3>Part A:</h3>

For f(s) = 2s +30, and s(w) = 40w, the composite function f(s(w)) is ...

  b(w) = f(s(w)) = 2(40w) +30

  b(w) = 80w +30 . . . . . . blooms over w weeks

__

<h3>Part B:</h3>

The input units of f(s) are <em>seeds</em>. The output units are <em>flowers</em>.

The input units of s(w) are <em>weeks</em>. The output units are <em>seeds</em>.

Then the function b(w) above has input units of <em>weeks</em>, and output units of <em>flowers</em> (blooms).

__

<h3>Part C:</h3>

For 35 weeks, the number of flowers that bloomed is ...

  b(35) = 80(35) +30 = 2830 . . . . flowers bloomed over 35 weeks

7 0
2 years ago
Write 4.83…. (The 3 repeats infinitely)as a mixed number
kogti [31]

Answer:

4\frac56

Step-by-step explanation:

\frac56=0.8 \dot{3}

\implies 4.8 \dot{3}=4\frac56

6 0
2 years ago
Read 2 more answers
a chef uses 5 2/5 pounds of ground beef to make a hamburger and 2 1/4 pounds of ground beef to make meatloaf. the ground beef co
Lisa [10]

Answer:

16 packages

Step-by-step explanation:

5 2/5 + 2 1/4  Use the common denominator of 20

5 8/20 + 2 5/20  

7  13/20

I know that I will need 14 packages for the 7 pounds.  For the fraction part, 10/20 would be half, so I would need to buy a half pound for that, but I need 13/20 which would be more than a half pound, so I will need to buy 2 more pounds for the fraction part.

14 + 2 = 16

8 0
1 year ago
Other questions:
  • Given that we have already tossed a balanced coin ten times and obtained zero heads, what is the probability that we must toss i
    9·1 answer
  • On Tuesday, the Soto Salad restaurant served 612 cups of Italian salad dressing. If the restaurant serves 14 cup of dressing wit
    15·2 answers
  • Hell please and thank you !!!!
    14·2 answers
  • Expand: Your answer should be a polynomial in standard form.<br> (5+w)(w+4)
    5·1 answer
  • Evaluate the expression and enter your answer in the box below |0|
    15·1 answer
  • Which inequalities are true? Check all that apply. 0&lt;8 8&lt;3 8&gt;7 8&lt;2 8&gt;8 1&lt;8
    6·1 answer
  • The first hexagon is dilated to form the second hexagon. Select answers from the drop-down menus to correctly complete the state
    12·1 answer
  • Critical thinking question on the topic operations with radical expressions needed
    5·1 answer
  • Find the total cost with tip.
    9·2 answers
  • I need help please!!! thank you so much to the person who is going to help me.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!