Answer:
(0, 1)
Step-by-step explanation:
First, we need to make y the subject of the formula from both expressions
For 4x+8y=5
8y = 5- 4x
y = (5-4x)/5
Similarly for x-3y= -3
-3y = -3 - x
3y = x+3
y = (x+3)/3
Since both lines intersects, hence;
(5-4x)/5 = (x+3)/3
Cross multiply
5(x+3) = 3(5-4x)
5x + 15 = 15 - 12x
5x + 12x = 15 - 15
17x = 0
x = 0/17
x = 0
Sustitute x = 0 into any of the equations
Given that y = x+3/3
y = 0+3/3
y = 3/3
y = 1
This shows that the lines intesects at (0, 1)
