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
Agata [3.3K]
3 years ago
6

Solve the system of equations 3x – 3y = 30 and 2x + y = 11 by combining the equations.

Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0
Times bottom equation by 3 and top by 2 to get the same coefficient of x
6x-6y=60
6x+3y=33
Minus the bottom by the top
-9y=27
y=-3
substitute this in to one of the equations
2x -3 = 11
add 3 to both sides
2x=14
x=7
You might be interested in
The line plot shows the amount of grass seed that a landscaper needs for each of her jobs. What is the total amount of grass see
Bond [772]

Answer:

Total = 18\frac{1}{4}

Step-by-step explanation:

Given

The attached line plot

Required

The total

To do this, we simply multiply each grass seed by the frequency (i.e. number of dots), then add up the results.

So, we have:

Total = \frac{1}{4} * 2 + \frac{1}{2} * 3 + \frac{3}{4} * 1 + 1 * 2 + 1\frac{1}{4} * 1 + 1\frac{1}{2} * 3 + 1\frac{3}{4} * 1 + 2 * 3

Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + 1\frac{1}{4} * 1 + 1\frac{1}{2} * 3 + 1\frac{3}{4} * 1 + 2 * 3

Convert fractions to improper fraction

Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + \frac{5}{4} * 1 + \frac{3}{2} * 3 + \frac{7}{4} * 1 + 6

Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + \frac{5}{4} + \frac{9}{2} + \frac{7}{4} + 6

Add fractions

Total = 18\frac{1}{4}

<em>Hence, the total amount is: </em>18\frac{1}{4}\b<em> pounds</em>

4 0
2 years ago
What is the decimal form for ten and 54 hundredths
irinina [24]

Answer: 10.54

Step-by-step explanation:

10 \frac{54}{100}

Multiply 10 by 100 and add 54

\frac{10*100+54}{100}=\frac{1000+54}{100}  =\frac{1054}{100} =10.54

3 0
2 years ago
1. (-4,5) (3,-5) <br> In slope intercept form <br><br> 2. (-3,4) (-2,-2)<br> Slope intercept form
Sophie [7]

Step-by-step explanation:

first use the formula box slope m then use y intercept equestion

8 0
3 years ago
I need help plz and fast
Alik [6]

Answer:

1

Step-by-step explanation:

1+19=20

so only 1 visit is available if they only have $20 to use.

6 0
3 years ago
Read 2 more answers
Please help me lol!!!!!!
Virty [35]

Answer:

A

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • What are the advantages to using exponential notation
    7·1 answer
  • Can someone explain number 8 thank you
    6·1 answer
  • Convert 3/11 into a percent?
    9·2 answers
  • Write the Contrapositive of the statement Below.⬇
    12·1 answer
  • In a group 30 high school students 8 take french 12 take spanish and 3 take both languages.how many students of the group take n
    5·2 answers
  • Tara raked 5% more leaves than Adam raked. Tara raked 357 liters of leaves. How many liters of leaves did adam rake
    10·1 answer
  • 9) Write an equation in point-slope form for the given point and slope:
    9·1 answer
  • PLS HELPP
    6·2 answers
  • HELP PLEASE 30 POINTS<br><br> 2x-3y=8 x-3y=8. solve with linear composition
    8·1 answer
  • Just need to know the steps to find what x equals
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!