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Find the solution to the following system of linear equations:
2p+3q = 9
p – q = 2
2p+3q = 9
p – q = 2
- a)(4,2)
- b)(3,1)
- c)(2,-3)
- d)(-4,1)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Find the solution to the following system of linear equations:2p+3q = ...
Alright, we have a system of two linear equations with two variables, p and q. Let's write them down:
1) 2p + 3q = 9
2) p - q = 2
Our goal is to find the values of p and q that satisfy both equations. We can use either the substitution method or the elimination method to solve this system. I'll use the substitution method here.
First, we'll solve the second equation for one of the variables. Let's solve for p:
p = q + 2
Now, we'll substitute this expression for p into the first equation:
2(q + 2) + 3q = 9
Distribute the 2:
2q + 4 + 3q = 9
Combine like terms:
5q + 4 = 9
Now, solve for q:
5q = 9 - 4
5q = 5
q = 1
Now that we have the value for q, we can plug it back into the expression for p:
p = q + 2
p = 1 + 2
p = 3
1) 2p + 3q = 9
2) p - q = 2
Our goal is to find the values of p and q that satisfy both equations. We can use either the substitution method or the elimination method to solve this system. I'll use the substitution method here.
First, we'll solve the second equation for one of the variables. Let's solve for p:
p = q + 2
Now, we'll substitute this expression for p into the first equation:
2(q + 2) + 3q = 9
Distribute the 2:
2q + 4 + 3q = 9
Combine like terms:
5q + 4 = 9
Now, solve for q:
5q = 9 - 4
5q = 5
q = 1
Now that we have the value for q, we can plug it back into the expression for p:
p = q + 2
p = 1 + 2
p = 3
Most Upvoted Answer
Find the solution to the following system of linear equations:2p+3q = ...
Since there is no second equation given, we cannot determine the values of p and q.
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Find the solution to the following system of linear equations:2p+3q = 9p – q = 2a)(4,2)b)(3,1)c)(2,-3)d)(-4,1)Correct answer is option 'B'. Can you explain this answer?
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