Answer:
Combine like terms
Step-by-step explanation:
The first step in such equations is to simplify the equation which is done most often by combining like terms, and by combining like terms i mean for example:
1 + 5 + 3x = 4y + z
You will combine the like terms (those that can be added or subtracted):
6 + 3x = 4y + z
In our example, combining terms would be adding 2x/3 and 1x/3 to give
3x/3 + 2 = 5
The equation is now simple and easy to solve as you simplify 3x/3 to 1x and then proceed to rearrange the equation to yield the value of x
Hope this helps!
X=3 because you subtract the three on both sides to get x alone. So you get: 7x=21 then you divide seven by 21 and get x=3
Answer:
The length of AE is 20 units.
Step-by-step explanation:
Given two segments AD and BC intersect at point E to form two triangles ABE and DCE. Side AB is parallel to side DC. A E is labeled 2x+10. ED is labeled x+3. AB is 10 units long and DC is 4 units long.
we have to find the length of AE
AB||CD ⇒ ∠EAB=∠EDC and ∠EBA=∠ECD
In ΔABE and ΔDCE
∠EAB=∠EDC (∵Alternate angles)
∠EBA=∠ECD (∵Alternate angles)
By AA similarity, ΔABE ≈ ΔDCE
therefore, 
⇒ 
⇒ 
⇒ 
Hence, AE=2x+10=2(5)+10=20 units
The length of AE is 20 units.
Answer:
$1.21
Explanation:
What we know:
- $5.88=3 pounds of apples
- price went up by $0.75 per pound
First, we divide $5.88 by 3 to find out how much one pound of apples cost.
5.88/3
=1.96
Therefore, the new price of apples per pound is $1.96.
Because the old price of apples per pound was $0.75 cheaper, we subtract 0.75 from 1.96.
1.96-0.75
=1.21
Therefore, the old price of apples per pound was $1.21.
I hope this helps! Please comment if you have any questions.
