Final answer:
To find the missing coefficient A in the equation Ax + 3y = 5 for the line passing through the point (2, -1), substitute the values of the point into the equation and solve for A, yielding A = 4 and the completed equation 4x + 3y = 5.
Step-by-step explanation:
The student is tasked with finding the missing coefficient A in the linear equation Ax + 3y = 5 that passes through the point (2, -1). To solve for A, we can substitute the x- and y-values from the point into the equation and solve for A as follows:
1. Substitute x = 2 and y = -1 into the equation:
A(2) + 3(-1) = 5
2. Solve for A:
2A - 3 = 5
2A = 8
A = 4
3. Write the completed equation with the found coefficient A:
4x + 3y = 5
This is the equation of the line with the correct coefficient that passes through the point (2, -1).
The Question is incomplete. The complete question is
Find the missing coefficient in the equation of the line that passes through the given point. Write the completed equation. Ax + 3y = 5, (2, -1)