Answer:
k = 4
Step-by-step explanation:
The graph represents y and x in direct proportion with equation
y = kx ← k is the constant of proportionality
To find k use the point (1, 4), that is x = 1, y = 4
k = 
= 
= 4
[Given]
{ x + y = 6
{ x = y + 4
[Plug-in our x value & solve]
[Given] x + y = 6
[ Plug-in] (y + 4) + y = 6
[Distribute] y + 4 + y = 6
[Combine like terms] 2y + 4 = 6
[Subtract 4 from both sides] 2y = 2
[Divide both sides by 2] y = 1
[Answer]
Third option - (5, 1)
-> You do not need to solve for x since this is the only option that has y = 1, but to solve for x we would do y + 4 = 1 + 4 = 5, so this answer fully checks correctly
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
★ Also please leave the rating you think I deserve (It helps other users as well as myself)
- Heather
Answer:
The Second One
Step-by-step explanation:
4x+6y <(underlined) 10
Answer:
(0,2) : Is not a solution to the system
(5,0) : is a solution to the system
(3,13) : is not a solution to the system
Step-by-step explanation:
Did it on Edgenuity, 2020. Hope this helps!
