point of intersection of x-2y=4 and 3x+y=5
To find the point of intersection of the two equations x - 2y = 4 and 3x + y = 5, we can solve the system of equations simultaneously.
First, let's rewrite the equations in the standard form:
x - 2y = 4 -> x = 2y + 4
3x + y = 5 -> y = 5 - 3x
Now, we can substitute the expression for y from the second equation into the first equation:
x = 2y + 4
x = 2(5 - 3x) + 4
x = 10 - 6x + 4
x + 6x = 14
7x = 14
x = 2
Now, substitute the value of x back into the second equation to find the value of y:
y = 5 - 3x
y = 5 - 3(2)
y = 5 - 6
y = -1
Therefore, the point of intersection of the two equations x - 2y = 4 and 3x + y = 5 is (2, -1).