Question

1. (08.01 LC)

Line A is represented by the equation given below:

x + y = 3

What is most likely the equation for line B, so that the set of equations has infinitely many solutions? (1 point)


3x + 3y = 3
3x + y = 3
x + y = 9
3x + 3y = 9
2. (08.01 MC)
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? (1 point)


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

Answer 1

-8

Explanation:

Answer 2

1. 3x+3y=9 since it is a coinciding line.It is equivalent because all the terms are multiplied by 3 from the original equation.

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

y=-4-4
y=-8

The answer is C because the solution must always satisfy both equations.