Question

a solution of the eqation 2x-3y=5 is
a)(1,1)
b)(4,1)
c)(1,4)
d)(2,-3)

Answer 1

Answer:

(4 , 1)

8 - 3 = 5

Step-by-step explanation:

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Answer 2

EXPLANATION :-

GIVEN :-

• Equation is 2x - 3y = 5

TO FIND :-

• A solution for the above equation.

1. (1 , 1)
2. (4 , 1)
3. (1 , 4)
4. (2, -3)

SOLUTION :-

Trial and error method,

• (1 , 1)

⟹ 2x - 3y = 5

⟹ 2(1) - 3(1) = 5

⟹ 2 - 3 = 5

⟹ -1 ≠ 5

• (4 , 1)

⟹ 2x - 3y = 5

⟹ 2(4) - 3(1) = 5

⟹ 8 - 3 = 5

⟹ 5 = 5

• (1 , 4)

⟹ 2x - 3y = 5

⟹ 2(1) - 3(4) = 5

⟹ 2 - 12 = 5

⟹ -10 ≠ 5

• (2 , -3)

⟹ 2x - 3y = 5

⟹ 2(2) - 3(-3) = 5

⟹ 4 - (-9) = 5

⟹ 4 + 9 = 5

⟹ 13 ≠ 5

∴ (4 , 1) is the correct solution.