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

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

Answer 2

Answer:

(-2,3)

Step-by-step explanation: