
LARRY W. answered 03/04/15
Tutor
New to Wyzant
I have been a MATH tutor for over 45 years - Algebra I & II, Geom.
If you have a Texas Instruments TI-83 or 84, solve for y in both equations and enter the y= equation on your y = screen. If you have y = (5/2)x - 4 and the other equation is y + (3/7)x + (1/7). When you plot the 2 equations, it shows that you have 2 intersecting lines and they intersect at x = 2 and y = 1.
If you don't have that graphing calculator, solve for x in one equation, and substitute that amount in the other equation, and solve for y. When you do that you will end up with x = 2 and y = 1, to give you the answer of (2,1) on the coordinate plane (the x and y graphs). Then to verify the answer, substitute the values for x and y variables in the two initial equations. You should come up with 10 - 2 = 8 which is true, and 6 - 7 = -1, which is also true.