Answer: Hi
Explanation:
The equation for the line y = p - 3x can be rearranged as y + 3x = p.
Substituting this into the system of equations, we get:
4x - (y + 3x) = 6
4x - y - 3x = 6
x = 6
2x - 5y = 12
2(6) - 5y = 12
12 - 5y = 12
-5y = 0
y = 0
So the point of intersection is (6, 0).
Substituting these values into y = p - 3x, we get:
0 = p - 3(6)
0 = p - 18
p = 18
Therefore, the value of p that makes the line y = p - 3x pass through the point of intersection of the lines 4x - y = 6 and 2x - 5y = 12 is 18.