Question

Verify whether the following are solutions to 4x + 3y = 16.

1. (1,4)

2. (2,3)

3. (3,1)

4. (4,0) [4 MARKS]

Answer 1

Points : 1 Mark each

The equation given is 4x + 3y = 16

1. Putting (1, 4) in the equation
$(4\times 1)+(3\times 4)=16$
The equation holds. Hence, (1, 4) is a solution.

2. Putting (2, 3) in the equation
$(4\times 2)+(3\times 3)=17\ne 16$
The equation does not hold. Hence, (2, 3) is not a solution.

3. Putting (3, 1) in the equation
$(4\times 3)+(3\times 1)=15\ne 16$
The equation does not hold. Hence, (3, 1) is not a solution.

4. Putting (4, 0) in the equation
$(4\times 4)+(3\times 0)=16$
The equation holds. Hence, (4, 0) is a solution.