Question

If the line 3x – 5y = b passes through the intersection point of 5x – 4y = –2 and 3x + 4y = 18,
then what is the value of b?​

Answer 1

EQUATION 5x-4y=-2 & 3x+4y=18 intersect

at pt (-2,-3) [ substituted value

is calculated]

NOW PUT THE VALUES OF THE EQUATION

3x-5y=b

-6-15=b

b=-21

Answer 2

Answer:

The value of b is -11.

Step-by-step explanation:

We first need to find the need to find the intersection point of the lines:
5x - 4y = -2 and 3x + 4y = 18

5x - 4y = -2

4y =  5x + 2

Put it in other equation:

3x + 4y = 18

3x + 5x + 2 = 18

8x = 16

x = 2

4y = 5(2) + 2

4y = 12

y = 3

Intersection point = (2, 3)

Now it lies on the line 3x - 5y = b

This means:

2(2) - 5(3) = b

4 - 15 = b

b = -11

Therefore, the value of b is -11.

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