Question

find the value of a and b, if the lines 2ax +7by = 14 And 3ax -7by =6 pass through (2, 1).

Answer 1

SOLUTION

The value of a and b, if the lines 2ax +7by = 14 And 3ax -7by =6 through (2, 1)

EVALUATION

Here the given equation of the lines are

$\sf{2ax + 7by = 14 \: \: \: - - - (1)}$

$\sf{3ax - 7by = 6 \: \: \: - - - (2)}$

Now the lines through the point (2,1) we get

$\sf{4a + 7b = 14 \: \: \: - - - - (3)}$

$\sf{6a - 7b = 6 \: \: \: - - - - (4)}$

Adding we get

$\sf{10a = 20}$

$\sf{ \implies \: 10a = 20}$

$\sf{ \implies \: a = 2}$

From Equation 3 we get

$\sf{8 + 7b = 14}$

$\implies \sf{7b = 6}$

$\displaystyle \implies \sf{b = \frac{6}{7} }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. The point (2, -3) lies in the third quadrant.State True or False and write correct statement.

https://brainly.in/question/4775096

2. Find the equation of straight line passing through the point (-4,5) and making equal intercepts on the coordinate axis.

https://brainly.in/question/25257443