Question

4. If an ordered pair satisfying the equations 2x-3y=18 and 4x-y=16 also satisfies the equation 5x-py-23=0, then find the value of p?(

Answer 1

Answer:

p = 2

Step-by-step explanation:

2x - 3y = 18..... equ 1

4x - y = 16....... equ 2

equ 1 - equ 2 × 3

2x - 3y = 18

12x - 3y = 48

(-) (+) (-)

———————

-10x = -30x

x = 3

substitute x in equ 2

12 - y = 16

- y = 4

y = -4

Ordered pair (x,y) = (3,-4)

substitute in 5x - py - 23 = 0

15 - (-4p) - 23 = 0

-8 +4p = 0

4p = 8

p = 2

Hope it helps you:)