Question

2. Write four solutions for each of the following equations:
(i) 2x+y=7 (ii)π y = 9 (iii) x = 4y​

Answer 1

Question:

Write four solutions for each of the following equations :  

(i) 2x + y = 7

(ii) πx + y = 9  

(iii) x = 4y

Solution:

i) 2x+y = 7

a ) Let x be 2 and y be 3

$2(2)+3=7\\\\3+4=7\\\\7=7$

b) Let x be 3 and y be 1

$2(3)+1=7\\\\6+1=7\\\\7=7$

c) Let x be 1 and y be 5

$2(1)+5=7\\\\2+5=7\\\\7=7$

d) Let x be 0 and y be 7

$2(0)+7=7\\\\0+7=7\\\\7=7$

(ii) πx + y = 9  

a) let x be 0 and y be 9

$\pi (0)+9=9\\\\0+9=9\\\\9=9$

b) Let x be 1/π and y be 8

$\pi (\frac{1}{\pi })+8=9\\\\1+8=9\\\\9=9$

c) Let x be 2/π and y be 7

$\pi (\frac{2}{\pi })+7=9\\\\2+7=9\\\\9=9$

d) Let x be 3/π and y be 6

$\pi (\frac{3}{\pi })+6=9\\\\3+6=9\\\\9=9$

iii) x = 4y

a) Let x be 4 and y be 1

$4=4(1)\\\\4=4$

b) Let x be 8 and y be 2

$8=4(2)\\\\8=8$

c) Let x be 12 and y be 3

$12=4(3)\\\\12=12$

d) Let x be 16 and y be 4

$16=4(4)\\\\16=16$

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