I need help with this equation y=x-2n y=2x+2
To solve this system of equations, we can use the method of substitution. Here's a step-by-step explanation of how to do it:
Step 1: Start with the given equations:
y = x - 2n ......(Equation 1)
y = 2x + 2 ......(Equation 2)
Step 2: Since both equations are equal to y, we can set them equal to each other:
x - 2n = 2x + 2
Step 3: Rearrange the equation to isolate one variable. Let's isolate x:
x - 2x = 2 + 2n
-x = 2 + 2n
Step 4: Simplify the equation further:
-x = 2n + 2
Step 5: Multiply the entire equation by -1 to get rid of the negative sign on x:
x = -2n - 2
Step 6: Now that we have the value of x, substitute it back into either Equation 1 or Equation 2 to solve for y. Let's use Equation 1:
y = (-2n - 2) - 2n
y = -2n - 2 - 2n
y = -4n - 2
So the solution to the system of equations is x = -2n - 2 and y = -4n - 2.