Question

Two lines, A and B, are represented by equations given below:

Line A: y = x – 4
Line B: y = 3x + 4

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


A. (–3, –5), because the point satisfies one of the equations
B. (–3, –5), because the point lies between the two axes
C. (–4, –8), because the point satisfies both equations
D. (–4, –8), because the point does not lie on any axis

Answer 1

You want the value of y and x?

Answer 2

yes

Answer 3

Line A : y = x - 4 - eqn1
Line B : y = 3x + 4 - eqn2
Plug eqn 1 in eqn 2
x - 4 = 3x + 4

So far , good?

Answer 4

yup

Answer 5

then how do i know witch one is the answer?

Answer 6

x - 4 = 3x + 4
x - 3x = 4 + 4
-2x = 8
x =8/-2
x = -4

Answer 7

Plug x = -4 in either eqn 1 or eqn 2
y = x - 4
y = -4 - 4
y = -8

Answer 8

because the point satisfies both equations?

Answer 9

or

Answer 10

because the point does not lie on any axis?

Answer 11

hey, why do you need more help? you got (-4,-8) and there is ONLY one option looks like this. What is next?? PICK IT. dat sit

Answer 12

but i don't know wich on it is:
because the point does not lie on any axis?
or
because the point satisfies both equations?

Answer 13

a solution to a system of equations is a point that satisfies both equations

Answer 14

YES, LIKE wshat Vocaloid said