If the line represented by the equation 3x + αy = 8 passes through the points (2,2), then the value of α is

- a)0
- b)4
- c)3
- d)1

Correct answer is option 'D'. Can you explain this answer?

Related Test: Test: Solutions To Linear Equations

6 Answers

Nipun S
answered
Oct 27, 2018

ITS SIMPLE

GIVEN THAT IN EQ. 3x + ay = 8. PASSES THROUGH THE POINT (2,2) THAT MEANS THAT (2,2) IS A SOLUTION OF THE EQUATION

THERE FOR PUTTING VALUE X= 2 AND Y = 2 IN THE EQUATION WE HAVE

3(2) + a (2) = 8

6 + 2a = 8

2a = 8-6

2a = 2

a = 2/2 = 1

Therefore value of

a = 1

GIVEN THAT IN EQ. 3x + ay = 8. PASSES THROUGH THE POINT (2,2) THAT MEANS THAT (2,2) IS A SOLUTION OF THE EQUATION

THERE FOR PUTTING VALUE X= 2 AND Y = 2 IN THE EQUATION WE HAVE

3(2) + a (2) = 8

6 + 2a = 8

2a = 8-6

2a = 2

a = 2/2 = 1

Therefore value of

a = 1

Vrinda Khurana
answered
Jan 22, 2020

3x+ay=8

Since it passes through point (2,2),

Hence, (3*2)+(a*2)=8

Or, 6+2a=8

Or, 2a=8-6

Or, 2a=2

Or, a=2/2

Or, a=1

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