Question

If (2a+5,3b+2)and(a+11,b+14) represent the same point in the co-ordinate plane then find a and b

Answer 1

Answer:

2a + 5 = a + 11

a = 6

3b+2 = b+14

2b =. 12

b = 6

Step-by-step explanation:

coz coordinates should be same here coz of same point.

hope helps

Answer 2

Answer: a=6 and b=6

Step-by-step explanation:

Here we are given two values which correspond to a single point in the x-y plane.

Let us take the value for x-axis as x, and the value for y-axis as y.

So we can write the given values as

$2a +5 = x$  - equation 1

and

$a+11=x$     - equation 2

Since both the values correspond to x, we can equate 1 and 2 as,

$2a+5 = a+11$

$2a-a = 11-5$

$a=6$

Similarly we can find out the value for b.

$3b+2 = y$

$b+14=y$

$3b+2 = b+14$

$3b-b = 14-2$

$2b=12$

$Therefore, b=6$

x and y coordinates are;

$2a+5 = 2*6+5 = 12+5=17$$- x$

$3b+2= 3*6+2 = 18+2 = 20$$-y$