Question

If lines ax-2y=5 and 2x-by =8 intersect at point (11,3), find the value of a and b
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Answer 1

a = 1

b = 4.67 OR 14/3

Explanation:

ax - 2y = 5

a(11) - 2(3) = 5

11a - 6 = 5

11a = 11

a = 1

2x - by = 8

2(11) - b(3) = 8

22 - 3b = 8

3b = 14

b = 4.67 OR 14/3

Answer 2

To find the values of a and b, we need to substitute the coordinates of the given point (11,3) into both equations and solve for a and b.

Substituting (11,3) into the first equation ax-2y=5:

a(11)-2(3)=5

11a-6=5

11a=11

a=1

Substituting (11,3) into the second equation 2x-by =8:

2(11)-b(3)=8

22-3b=8

-3b=-14

b=14/3

Therefore, a=1 and b=14/3.