Given that y = px + q and y = 5 when x = 3, while y = 4 when x = 2, find the value of p and q.
Question 1 Report
Given that y = px + q and y = 5 when x = 3, while y = 4 when x = 2, find the value of p and q.
Answer Details
To find the values of p and q, we need to use the information given in the problem. We are given that:
y = px + q
When x = 3, y = 5
5 = 3p + q --- (Equation 1)
When x = 2, y = 4
4 = 2p + q --- (Equation 2)
We can solve these two equations simultaneously to get the values of p and q. We can do this by subtracting equation 2 from equation 1:
5 = 3p + q
- (4 = 2p + q)
1 = p
Substituting p = 1 into equation 2, we get:
4 = 2(1) + q
4 = 2 + q
q = 2
Therefore, the values of p and q are p = 1 and q = 2.
Therefore, the answer is (B) p = 1, q = 2.
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