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: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Statistics
1.2K views

narrowest interval in this set is 15 5 Sample size and margin of error Normally...

Chemistry
1.2K views

Define the terms binding energy, stellar nuclesynthesis and mass defect. Why do lighter elements favor fusion...

Psychology
1.2K views

There is an emphasis in American culture on developing a strong sense of autonomy and independence...

Electrical Engineering
1.2K views

Do the electrostatic potential maps and the calculated electrostatic coefficients on the C atoms predict the...

General Management
1.2K views

Can you read this ans make it sound better 1. After reading the case study, I...

Physics
1.2K views

nsider a series LR circuit with a switch as shown in figure If the switch...

Basic Math
1.2K views

Let's say you have a bag with 18 cherries. 10 of the cherries are sweet...

Basic Math
1.2K views

Find the first five terms of the sequence an 9 5n a1 a2 a3 a4...

Basic Math
1.2K views

A parabolic mirror to be used in a searchlight measures 40 centimeters tall and 80...

Statistics
1.2K views

6 Using the frequency distribution below determine the class width Weight lbs 101 120 121...

Accounting
1.2K views

Millington Materials is a leading supplier of building equipment, building products, materials, and timber for...

Accounting
1.2K views

Maxwell Corporation factored, with recourse, $300,000 of accounts receivable with Huskie Financing. The finance charge...