Question

10) Which of the following is a solution of the equation 3x + 2y = 10. (i) (2, 2), (ii) (1, 5)
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Answer 1

Answer:

Given equation :

3x + 2y = 10

(i) (2,2)

Substitute (2,2) in 3x + 2y = 10

x = 2  ; y = 2

LHS                        RHS

3 (2) + 2(2)             = 10

= 6 + 4

= 10  

10 = 10

LHS = RHS

∴ (2,2) is a solution to the equation 3x + 2y = 10

(ii) (1,5)

Substitute (1,5) in 3x + 2y = 10

x = 1 ; y = 5

LHS                  RHS

3 (1) + 2 (5)      = 10

= 3 + 10

= 13

13 ≠ 10

LHS ≠ RHS

∴ (1,5) is not a solution to the equation 3x + 2y = 10