By algebra properties we find the following relationships between each pair of algebraic expressions:
- First equation: Case 4
- Second equation: Case 1
- Third equation: Case 2
- Fourth equation: Case 5
- Fifth equation: Case 3
<h3>How to determine pairs of equivalent equations</h3>
In this we must determine the equivalent algebraic expression related to given expressions, this can be done by applying algebra properties on equations from the second column until equivalent expression is found. Now we proceed to find for each case:
First equation
(7 - 2 · x) + (3 · x - 11)
(7 - 11) + (- 2 · x + 3 · x)
- 4 + (- 2 + 3) · x
- 4 + (1) · x
- 4 + (5 - 4) · x
- 4 - 4 · x + 5 · x
- 4 · (x + 1) + 5 · x → Case 4
Second equation
- 7 + 6 · x - 4 · x + 3
(6 · x - 4 · x) + (- 7 + 3)
(6 - 4) · x - 4
2 · x - 4
2 · (x - 2) → Case 1
Third equation
9 · x - 2 · (3 · x - 3)
9 · x - 6 · x + 6
3 · x + 6
(2 + 1) · x + (14 - 8)
[1 - (- 2)] · x + (14 - 8)
(x + 14) - (8 - 2 · x) → Case 2
Fourth equation
- 3 · x + 6 + 4 · x
x + 6
(5 - 4) · x + (7 - 1)
(7 + 5 · x) + (- 4 · x - 1) → Case 5
Fifth equation
- 2 · x + 9 + 5 · x + 6
3 · x + 15
3 · (x + 5) → Case 3
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Answer:
2 and 2/3 for the first question
-1/8 for the second one
-1/5 for the third one
ive never done this type of question or maybe it was too long ago for me to remember but out of this answer choices i would guess that its the last one
this is 3
Step-by-step explanation:
you add the numerators which is the top number in order to get 2 and 2/3rds
you subtract 5 from 4 to get -1/8
same situation as the last one, subtract 15 from 11 to make it a negative 4/20 and then simplify that by dividing it by four to get 1/5th
this one i dont understand or remember how to do very well but if i had to guess its the last answer choice
this one you add 3/4 plus 1/4 in order to get 4/4 or rather 1, so basically its asking what 1+1+1 is which is 3
Answer:
4. c + b/a
Step-by-step explanation:
ax - b = c (Given)
ax = c + b (Add b on both sides)
x = c + b/a = (Divide a on both sides)
Answer:
A=-2; B=-1
Step-by-step explanation:
3a - 2b + 4 =0
2a -5b -1 = 0
Let's multiple the top equation by 2, and the bottom by -3, and then use addition.
[3a - 2b + 4 =0]*2
[2a -5b -1 = 0]*(-3)
6a-4b+8=0
-6a+15b+3=0
Now add the two equations together:
11b + 11 = 0
Subtract 11 from both sides
11b = -11
Divide both sides by 11
b=-1
Substitute in the first equation:
3a - 2(-1) + 4 = 0
Simplify to get 3a+6 = 0
Subtract 6 from both sides to get 3a = -6
Divide both sides by 3 to get a=-2
