what is the best way to solve this system
y= 3/2x-2
y=-3/2x+4
To solve this system of equations, you can use the method of substitution or the method of elimination. Let's use the method of substitution.
Step 1: Start by setting the two equations equal to each other:
3/2x - 2 = -3/2x + 4
Step 2: Simplify the equation by adding 3/2x to both sides:
3/2x + 3/2x - 2 = -3/2x + 3/2x + 4
3x - 2 = 4
Step 3: Add 2 to both sides to isolate 3x:
3x - 2 + 2 = 4 + 2
3x = 6
Step 4: Divide both sides by 3 to solve for x:
3x/3 = 6/3
x = 2
Step 5: Now substitute the value of x into either of the original equations. Let's use the first equation:
y = (3/2)(2) - 2
y = 3 - 2
y = 1
Therefore, the solution to the system of equations is x = 2 and y = 1.