Answer: 2nd
Step-by-step explanation: The simplification of given equation can be carried out by using slope intercept form and also by using the arithmetic operations.
1).
Given :
--- (1)
To determine the slope of the given line, slope intercept form can be use and the slope intercept form is given by:
--- (2)
Now, compare both the equation (1) and (2), we get the slope of the line that is, .
2).
Given :
3y + 4x = 15
Further simplify the given equation.
----- (3)
To determine the y-intercept of the given line, slope intercept form can be use and the slope intercept form is given by:
--- (4)
Now, compare both the equation (3) and (4), we get the y-intercept of the line that is, .
3).
Given :
---- (5)
---- (6)
Now, substitute the value of 'y' given in equation (5) in equation (6).
Now, put the value of y in equation (5).
Therefore, the correct option is A).
4).
Given :
3x + 4y = 31 ---- (7)
2x - 4y = -6 ---- (8)
Further simplify the equation (7).
--- (9)
Now, put the value of x given in equation (9) in equation (8).
62 - 20y = -18
80 = 20y
y = 4
Put the value of y in equation (9) we get:
x = 5
Therefore, the correct option is B).