Question:
2x + y = 3, x - 2y = –1.
If equation one is multiplied by 2 and then the equations are added, the result is _____.
(A) 3x = 2
(B) 3x = 5
(C) 5x = 5
Answer:
Option C:
5x = 5
Solution:
Given equations are
2x + y = 3 – – – – (1)
x – 2y = –1 – – – – (2)
Let us first multiply equation (1) by 2, we get
(1) × 2 ⇒ 4x + 2y = 6 – – – – (3)
Now, add equation (3) to equation (2).
⇒ x – 2y + 4x + 2y = –1 + 6
Combine like terms together.
⇒ x + 4x – 2y + 2y = –1 + 6
⇒ 5x = 5
So, if equation one is multiplied by 2 and then the equations are added, the result is 5x = 5.
The answer is 14 or 15 qe
It looks like its already complete. Looks pretty complex.
Answer:
7 pieces of homework
Step-by-step explanation:
This is an algebra problem. We first need to set up our algebra equation and we are going to find X (The amount of homework Richard submitted)
The algebra equation would be
X+X+2=12
*Combine like terms*
2X+2=12
Subtract 2 to both sides
2X=10
X=5
That means that Richard did 5 pieces of homework. We are not done yet because we want to find the amount of homework Isaac did. Earlier in the problem, it said that Issac did 2 more pieces of homework than Richard. Take Richard's number, 5 and add to 2 to it to get 7 pieces of homework.
