Answer:
x = 0
Step-by-step explanation:
(1) 2x – 3y = 3
5x – 4y = 4 - 10x Add 10x to each side
(2) 15x – 4y = 4
Solve Equation (1) for y
-3y = 3 – 2x Multiply each side by -1
3y = -3 + 2x Divide each side by 3
y = -1 + (2/3)x
Substitute y into Equation (2)
15x - 4[-1 + (2/3)x] = 4 Multiply each side by 3
45x – 4(-3 + 2x) = 12 Remove parentheses
45x + 12 + 8x = 12 Subtract 12 from each side
45x + 8x = 0 Combine like terms
53x = 0 Divide each side by 53
x = 0
The graph shows that the two lines intersect when x = 0.
