Answer:
-8/17
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-75-(-51))/(31-(-20))
m=(-75+51)/(31+20)
m=-24/51
m=-8/17
B(3, 1)
C(1, –3)
D(–1, –3)
The solution to the given system of equations is (3, –1). The correct answer is option A.
The system of equations is given as:
x - 4y = 7 ....(1)
5x + 9y = 6 ....(2)
Solve the first equation for x:
x = 7 + 4y
Substitute the value of x in the second equation:
5(7 + 4y) + 9y = 6
35 + 20y + 9y = 6
29y = -29
y = -1
Substitute the value of y back into the first equation to find x:
x = 7 + 4(-1)
x = 7 - 4
x = 3
Therefore, the solution to the system of equations is x = 3 and y = -1.
Thus, the correct answer is option A.
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The complete question is as follows:
Solve the below system of equations.
x – 4y = 7
5x + 9y = 6
A. (3, –1)
B. (3, 1)
C. (1, –3)
D. (–1, –3)