Question

Two lines, C and D, are represented by the following equations:

Line C: y = x + 5
Line D: y = −2x − 1

Which of the following options shows the solution to the system of equations and explains why?

Answer 1

(-2,3)

Explanation:

Answer 2

we are given

system of equations as

Line C: y = x + 5

Line D: y = −2x − 1

now, we can solve this system of equation

we can get intersection point

we can use substitution

`y=x+5`

`y=-2x-1`

we can substitute

`-2x-1=x+5`

now, we can solve for x

`3x=-6`

`x=-2`

now, we can find y

`y=-2+5`

`y=3`

so, these two lines intersects at
`(x,y)=(-2,3)`...........Answer