y=1/2x+1, and y=-3x+8 thanks
If f (x) - 4x - 3, find f (-1)
Set the two equations equal, (both are equal to the same thing, y), and solve for x.
if f (x) - 5x - 1, find the following f (a - 2)
To find the point of intersection between the two equations, you need to solve them simultaneously. This means finding the values of x and y that satisfy both equations.
Let's start by finding the x-coordinate of the intersection point. We'll equate the two equations:
1/2x + 1 = -3x + 8
To solve for x, we can begin by moving all the x terms to one side:
1/2x + 3x = 8 - 1
Combining like terms, we have:
3/2x = 7
Next, we'll isolate x by multiplying both sides of the equation by 2/3:
(2/3)(3/2x) = (2/3)(7)
Simplifying, we get:
x = 14/3
Now that we know x, we can substitute it into one of the original equations to find y. Let's use the first equation:
y = 1/2(14/3) + 1
To calculate this, we need to simplify the expression:
y = 7/3 + 3/3
Combining like terms, we have:
y = 10/3
Therefore, the point of intersection of the two equations is (14/3, 10/3), or (4.67, 3.33) rounded to two decimal places.