Question

The solution to a system of equations is (-5,19) Choose two equations that might make up the system.

Answer 1

Options:

A. y=-3x-6

B. y=2x-23

C. y=-7x-16

D. y=x-17

E. y=-2x+9

Answer:

C. y=-7x-16

E. y=-2x+9

Explanation:

Given

`(x,y) = (-5,19)`

Required

Choose two equations

To do this, we simply substitute -5 for x in each of the options.

Whichever gives y=19 is true for the given solution

`A.\ y=-3x-6`

`y=-3(-5)-6`

`y=15-6`

`y=9`

`B.\ y=2x-23`

`y=2(-5)-23`

`y=-10-23`

`y = -33`

`C.\ y=-7x-16`

`y=-7(-5)-16`

`y=35-16`

`y=19`

`D.\ y=x-17`

`y=-5-17`

`y=-22`

`E.\ y=-2x+9`

`y=-2(-5)+9`

`y=10+9`

`y = 19`

Options C and E are true