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
Pavlova-9 [17]
3 years ago
11

Solve the following by elimination method 11x+15y+23=0 and 7x-2y-20=0

Mathematics
1 answer:
mr Goodwill [35]3 years ago
7 0
Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)

Multiply equation (1) by 2:
22x + 30y + 46 = 0

Multiply equation (2) by 15:
105x - 30y - 300 = 0

Add equations (1) and (2):
22x + 105x + 30y - 30y + 46 - 300 = 0
127x - 254 = 0
127x = 254
x = 254/127
[x = 2]

Substitute x = 2 in equation (1) to find y:
11(2) + 15y + 23 = 0
22 + 15y + 23 = 0
15y + 45 = 0
15y = -45
y = -45/15
y = -3

Therefore, x = 2 and y = -3.
You might be interested in
The town of Hayward (CA) has about 50,000 registered voters. A political research firm takes a simple random sample of 500 of th
timama [110]

Answer: (0.076, 0.140)

Step-by-step explanation:

Confidence interval for population proportion (p) is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p} = sample proportion.

n= sample size.

\alpha = significance level .

z_{\alpha/2} = critical z-value (Two tailed)

As per given , we have

sample size : n= 500

The number of Independents.:  x= 54

Sample proportion of Independents\hat{p}=\dfrac{x}{n}=\dfrac{54}{500}=0.108

Significance level 98% confidence level : \alpha=1-0.98=0.02

By using z-table , Critical value : z_{\alpha/2}=z_{0.01}=2.33

The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-

0.108\pm (2.33)\sqrt{\dfrac{0.108(1-0.108)}{500}}\\\\=0.108\pm2.33\times0.013880634\\\\=0.108\pm0.03234187722\\\\\approx0.108\pm0.032=(0.108-0.032,\ 0.108+0.032)=(0.076,\ 0.140)

Hence, the 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters.= (0.076, 0.140)

8 0
3 years ago
Percent proportion definition
sdas [7]
The Percent Proportion is defined by. amount. ... The base, denoted by the letter b, is the entire quantity or total involved. Note: The number that is the base usually appears after the word of. The amount, denoted by the letter a, is the part being compared to the whole or total.
7 0
2 years ago
Read 2 more answers
Find the distance between 2 and -2<br><br> A. -6<br> B -4 <br> C. 0<br> D. 4
tangare [24]

Answer:

b) -4

Step-by-step explanation:

Well your at 2 and going to -2 so on a number line you be going back or left.

Going two left gets you to zero and going two more get you -2. So in total you went back four and that be represented as -4.

5 0
2 years ago
Jeffrey is scuba diving. His elevation changes by -5.5 inches every second. Jeffrey Dives for 30 seconds. What is the total chan
elena-s [515]
-165...you take -5.5 times 30 and you get -165
8 0
2 years ago
What is the lcm of 2x²and3y
zloy xaker [14]

Answer:

LCM(2x² , 3y) = 6x²y

Step-by-step explanation:

these two expressions 2x²and 3y have no common factor

Then

LCM(2x² , 3y) = 2x² × 3y

                      = (2×3)x²y

                      = 6x²y

5 0
1 year ago
Other questions:
  • Mr. Powell rents a storage space that is 7 feet high, 5 feet long, and 4 feet wide. How many containers, each one cubic foot in
    8·2 answers
  • What is 1/4 times 3/5?
    8·2 answers
  • Function rule and y intercept
    7·1 answer
  • WILL MARK BRAINYIEST!!!
    5·2 answers
  • Find the volume of the triangular prism​
    10·1 answer
  • Whats 4
    14·1 answer
  • Help with these equations please!
    11·1 answer
  • In the xy-plane, the midpoint M of segment AB has coordinates (-1,3), and point A has coordinates
    8·1 answer
  • (WILL GIVE BRAINLIEST)
    10·1 answer
  • If 3x + 6 = 21, what does x + 2x plus 2 equal?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!