Find the point of intersection of the pair of straight lines.
y = −5x − 4
−y = 6x + 3
add the two equations to get
0 = x-1
x = 1
now use that to get y.
To find the point of intersection of a pair of straight lines, we need to solve the system of equations formed by the given equations.
Given:
y = -5x - 4 ---(1)
-y = 6x + 3 ---(2)
From equation (2), we can rewrite it as:
y = -6x - 3 ---(3) [by multiplying both sides by -1]
Now we have two equations (1) and (3) with the same y value, we can equate these two equations:
-5x - 4 = -6x - 3
To simplify this equation, we can move the variables to one side and the constants to the other side:
-5x + 6x = -3 + 4
x = 1
Now substitute the value of x = 1 into either equation (1) or (3) to find the value of y:
y = -5(1) - 4
y = -5 - 4
y = -9
Therefore, the point of intersection of the pair of straight lines is (1, -9).