I believe the answer is 17.
Allen's work is not written properly so I have rearranged it as shown below:
Original problem) –8.3 + 9.2 – 4.4 + 3.7.
Step 1) −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
Step 2) −8.3 + 4.4 + 9.2 + 3.7 Commutative property
Step 3) −8.3 + (4.4 + 9.2 + 3.7) Associative property
Step 4) −8.3 + 17.3
We can see that in step 1), Allen changed -4.4 into +4.4 using additive inverse. Notice that we are simplifying not eliminating -4.4 as we do in solving some equation. Hence using additive inverse is the wrong step.
Alen should have collect negative numbers together and positive numbers together.
Add the respective numbers then proceed to get the answer.
–8.3 + 9.2 – 4.4 + 3.7
= –8.3 – 4.4 + 9.2 + 3.7
= -12.7 + 12.9
= 0.2
We are given
First equation:
we can use formula
slope is m=1
y-intercept is b=-1
Second equation:
we can use formula
slope is m=-2
y-intercept is b=5
Graph:
We can see that
both curves intersect at (2,1)
so, solution is x=2 and y=1.................Answer
Answer: x = 1.28 or -1.28
Answer:
B and D
Step-by-step explanation:
Equations with the same x- term on both sides will have no solution
A
4x - 13 = 5(x + 4) = 5x + 20
4x ≠ 5x
This equation has a solution
B
5(3 + 2x) = 10x + 4
15 + 10x = 10x + 4
10x on both sides ⇒ no solution
C
2(3 - 5x) = 8(x + 1)
6 - 10x = 8x + 8
- 10x ≠ 8x
This equation has a solution
D
9x - 6 = 3(3x - 2) = 9x - 6
9x on both sides ⇒ no solution
