Question

Y=2x+8 and y= -2/3x. Identify the value of x that simultaneously satisfies both equations.

Answer 1

Let's solve this by subst. (-2/3)x for y in y=2x+8.

Then 2x+8 = (-2/3)x.  (For clarity you must use those parentheses.)

The LCD is 3.  Mult. both sides by 3, obtaining

6x+24 = -2x.  Then 8x = -24, and x = -3.  Now that you have a value for x, subst. this value (-3) into either of the given equations to determine y.

Then write your solution in the form (-3,  ??  ).