Question

1. y = –x + 2
y = 3x – 1 (1 point)
I need HElp

Answer 1

to solve for this system of equations you can use the substitution method
y = –x + 2
y = 3x – 1
because y = y
-x + 2 = 3x - 1 so solve for x this way :)

Answer 2

–4x + 3y = –12
–2x + 3y = –18
elimination method
so 2x = -6 solve for x

then once you get x, plug it back into on of the original equations to get y

Answer 3

x = –4y + 4
2x + 8y = 8 substitution method
2(-4y + 4) + 8y = 8
-8y + 8 + 8y = 8 the 8y's cancel out
so you get 8 = 8 therefore infinite

Answer 4

y = 6x + 2
3y – 18x = 12 substitution method
3(6x + 2) - 18x = 12
the 18x's cancel out
6 does not equal 12 so no solution

Answer 5

x – 2y = 6
3x – 6y = 18 if you try elimination method
you'll get the same equations so infinite

Answer 6

y – 5x = –6
3y – 15x = –12 if you try elimination method
you'll get same variable terms but a different last term
so no solution

Answer 7

x ≥ 4
closed point at 4
shaded to the right.

Answer 8

y < –2
open point at y = -2
shaded below

Answer 9

A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft, and the distance around should be no more than 380 ft. Which system of inequalities and graph represents the possible dimensions of the garden?

I don't have the graph options for this, and I actually don't have any access to connexus stuff so idk the heck this is about
L > or equal to 110
2(100) + 2W < or equal to 380
is all I can do for this one.

Answer 10

Tom has a collection of 30 CDs and Nita has a collection of 18 CDs. Tom is adding 1 CD per month to his collection while Nita is adding 5 CDs per month to her collection. After how many months will Tom and Nita have the same number of CDs?

solve for x: 5x + 18 = x + 30

Answer 11

Kendra owns a restaurant. She charges $3.00 for two eggs and one piece of toast and $1.80 for one egg and one piece of toast. How much does Kendra charge per egg? How much per piece of toast?

system of equations: 3e + t = 3
e + t = 1.8 elimination method(B)

Answer 12

y = 5x + 4
y = 5x – 3
I don't have graphs... they would be NON-intersecting parallel lines
one of the lines has y-intercept 4 while the other line has y-intercept -3

Answer 13

y = –5x – 2
y + 2 = –5x
I don't have graphs. they would be overlapping lines.

Answer 14

2x – y = –7
4x – y = –4 elimination method
so you get 2x = 3 solve for x
plug back into original to get y

Answer 15

I'm fried. good night.