Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. find two solutions for the following equations: (i

Find two solutions for the following equations: (i) 2x+3y=12 (ii) 7x+9y=63

Free

50.1K

Verified Solution

Question

Basic Math

Find two solutions for the following equations:

(i) 2x+3y=12

(ii) 7x+9y=63

Answer & Explanation Solved by verified expert
3.7 Ratings (428 Votes)

 

(i) 2x+y=12

Let, x=0 in the above equation, 

2(0)+3y=12

3y=12

y=12/3

y=4

So, (0,4) is a first solution. 

Similarly, substitute y=0 in the equation 2x+y=12

we get, 

2x+y(0)=12

2x=12

x=6

We got the second solution of the equation as (6,0).

(ii)7x+9y=63

Substitute x=0 in the equation 7x+9y=63 we get, 

7(0)+9y=63

9y=63

y=63/7

y=9

First solution ; (0,9)

Similarly, 

Plug y=0 in the equation 7x+9y=63, we get

7x+y(0)=63

7x=63

x=63/7

x=9

Second solution : (9,0)

Two solutions of the following equations are:

(i) 2x+3y=12 : solutions - (0,4) and (6,0)

(ii) 7x+9y=63 : solutions - (0,9) and (9,0)
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Compound A is a D-aldopentose that can be oxidized to an optically active aldaric acid B....

Chemistry
Q

Derek will deposit $2,994.00 per year for 28.00 years into an account that earns 11.00%, The...

Finance
Q

1. A given open loop room heating system has a gain of 1.2 and a time...

Electrical Engineering
Q

A. While investigating the shares offered to you by your potential boss, you discover that the...

Finance
Q

Example 15 In a Stern Gerlach type experiment the magnetic field varies with distance in...

Physics
Q

25 Sphere is charged uniformly If one moves from A to B along diameter AB...

Physics
Q

Use the given degree of confidence and sample data to find the margin of error...

Statistics
Q

Exercise 9-8 (Static) Calculate earned revenues LO 9-1 Kirkland Theater sells season tickets for six...

Accounting
Q

On 1/1/22 knot company issued 12 year, 9% $600000 face value bonds at an effective...

Accounting
Q

During the year, Cancico Communications completed an order for special telephone ecuilpment for a new...

Accounting
Q

Moonbeam Company manufactures toasters. For the first 8 months of 2020, the company reported the...

Accounting
Q

Which filing status is least progressive? A. Single B. Married Filing Separately C. Head of...

Accounting