73.5k views
2 votes
Which value of x satisfies both 3x + y = 9 and 3x − 5y = 15?. A) \[\frac{ 10 }{ 3 }\]. B) \[\frac{ 2 }{ 3 }\]. C) \[-1\]. D) \[0\].

User EnggPS
by
8.3k points

2 Answers

6 votes

Answer:

Option A. is the correct option.

Explanation:

Two equations are 3x + y = 9 ------------(1)

and 3x - 5y = 15 ----------(2)

we have to calculate the value of x common for both.

We multiply equation 1 by 5 and add it to equation 2

15x + 5y = 45

3x - 5y = 15___

18x = 60

x =
(60)/(18)=(10)/(3)

Therefore option A.
x=(10)/(3) is the answer.

User Sepster
by
8.4k points
4 votes
Multiply the first equation by five to yield, 15x + 5y = 45. Add this equation to the second equation from the given,
15x + 5y = 45
+ 3x - 5y = 15
The answer would be 18x = 60. The value of x is 10/3. Therefore, the answer to this item is letter A.
User Evenro
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories