Question

Find five solutions for each of the following linear equations in two variables.
a) 5x + 4y = 20​

Answer 1

Step-by-step explanation:

a) 5x + 4y = 20

at X= 0

=>5(0)+4y= 20

=> 0+4y=20

4y= 20

=> y= 20/4= 5

(0,5)is a solution

at X= 1

=>5(1)+4y= 20

=> 5+4y=20

4y= 20-5=15

=> y= 15/4

(1,15/4)is a solution

at X= 2

=>5(2)+4y= 20

=> 10+4y=20

4y= 20-10=10

=> y= 10/4=5/2

(2, 5/2) is a solution

at X= 3

=>5(3)+4y= 20

=> 15+4y=20

4y= 20-15=5

=> y= 5/4

(3,5/4)is a solution

at X= 4

=>5(4)+4y= 20

=> 20+4y=20

4y= 20-20=0

=> y= 0/4=0

(4,0)is a solution

required 5solutions are

(0, 5), (1, 15/4), (3,5/4), (4,0)