Is(2, 7) a solution of 3x – 2y = -8 as well as 3x + 2y = 20 ?
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Answer:
Yes
Step-by-step explanation:
If it is a solution to these equations, it must satisfy them for x = 2 and y = 7.
(i) 3(2) - 2(7) should be equal to -8.
⇒ 6 - 14
⇒ - 8
Hence, 3x - 2y = -8, for x = 2 and y = 7
(2, 7) is a solution to 3x - 2y = -8.
(ii): 3(2) + 2(7) should be equal to 20
⇒ 6 + 14
⇒ 20
Hence, 3x + 2y = 20, for x = 2 and y = 7
(2, 7) is a solution to 3x + 2y = 20.
Therefore, (2, 7) is a solution to both the equations.
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