Question

find three solutions for the linear equation 4x -3y = 1

Answer 1

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4x-3y = 1

=> 3y = 4x - 1

=> y = (4x-1)/3

Therefore,

y = 1 and y = 4x/3 and y = - 1/3

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Answer 2

Three solutions for linear equation are (1,1), (4,5) and (7,9).

Given - Equation

To find - Three solutions

Solution - To find the solutions, we will perform multiplication and subtraction of the products, as is shown below.

For first value -

x = 1 and y = 1

4*1 - 3*1 = 1

4 - 3 = 1

1 = 1

Since LHS = RHS, first value will be (1,1).

For second value -

x = 4 and y = 5

4*4 - 3*5 = 1

16 - 15 = 1

1 = 1

Since LHS = RHS, first value will be (4,5).

For third value -

x = 7 and y = 9

4*7 - 3*9 = 1

28 - 27 = 1

1 = 1

Since LHS = RHS, first value will be (7,9).

Hence, the three solutions are (1,1), (4,5) and (7,9).

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