Start off by combining like terms on the LHS (the terms with x in them).
So we get

Replacing this result with what we had before on the LHS, we get

⇒Solve for x (divide both sides

)
⇒Don't forget about reciprocity rules when dividing. This is the same as multiplying both sides by

⇒

⇒

***This is a proper fraction
Answer:
3 and 4
1 and 3
Step-by-step explanation:
This is because these are vertical angles so anything on one side is the same on the other in these words Congruent. Good luck.
You can solve this by using the system of equations.
Jan - 4.95 = 2H + 3C
Wayne - 5.45 = 3H + 2C
Use elimination.
-3(2H + 3C = 4.95)
2(3H + 2C = 5.45)
Solve. And you'll get:
-6H + (-9C) = -14.85
6H + 4C = 10.9
Cross out -6H and 6H because they cancel out. And you're left with:
-9C = -14.85
4C = 10.9
Add -9C with 4C, and -14.85 with 10.9.
-5C = -3.95
Divide each side with -5.
C = $0.79
Now to figure out what H is, just substitute the C in one of the equations with 0.79.
5.45 = 3H + 2(0.79)
5.45 = 3H + 1.58
-1.58 -1.58
3.87 = 3H
3.87/3 = 3/3(H)
1.29 = H
Finished!
The Green Line represents
.
The Blue Line represents
.
Both Tables show proportional relationship.
You are told to choose the choices equal to T(8). T(8) means that you need to find the possible ways to write the y-value when n = 8, since 8 is being substituted in for "n."
1) First, plug in n = 8 into the equation you're given, <span>T(n) = 4n - 5:
T(8) = 4(8) - 5
T(8) = 32 - 5
T(8) = 27
That is answer choice C, making choice C correct. You can eliminate choice B, since 27 </span>≠ 37.
2) Check answer choice A. Is T(5) + T(3) = 27? T(5) means you need to plug in 5 for n. T(3) means you need to plug in 3 for n.
T(5) + T(3)
= [4(5) - 5] + [4(3) - 5]
= [20-5] + [12-5]
= 15 + 7
= 22
Since 22 ≠ 27, you can eliminate choice A.
3) Check answer choice D. Is T(7) + 4 = 27? T(7) means you need to plug in 7 for n.
T(7) + 4
= [<span>4(7) - 5] + 4
</span>= [28 - 5] + 4
= 23 + 4
= 27
Since 27 = 27, answer choice D is also correct!
--------
Answer: Choice C (27) and Choice D (T(7) + 4)