what is the solution of y=3/2x-1 y=-x+4
using y=mx+b find the solution of the two equations ( , )
You have two equations, both of which equal y, which has to be the
same for both equations at the point of intersection. Therefore:
3/2 x - 1 = x + 4
3/2 x - 1 - x = x + 4 - x
1/2 x - 1 = 4
1/2 x - 1 + 1 = 4 + 1
1/2 x = 5
(1/2 x) * 2 = 5 * 2
x = 10
Now, solve for y.
y = x + 4
y = 10 + 4
y = 14
Check it.
y = 3/2 x - 1
y = 3/2 (10) - 1
y = 15 - 1
y = 14
Answer: (10, 14)