Question

The tables above represent data points for two linear equations. If the two equations form a system, what is the x-coordinate of the solution to that system?

Answer 1

Equation 1 slope: -x+4
Work: y2-y1/x2-x1: can be any points, points 0,4 and 4,0. 0-4/4-0= -4/4= -1x, 4 is y intercept the number that goes through Y which is 4 in this case.
Equation 2 slope: 1/4x-6 if you follow steps above you should get this as well.
Solution: Set both equations equal to each other to find solution.

-x+4=1/4x-6.
+x = +x
4=5/4x-6
+6= +6
10=5/4x
10(4/5)
X=8
Plug in x to any equation.
-8+4=-4 y=-4
Solution to both equations is 8,-4

Answer 2

Answer:

  x = 8

Step-by-step explanation:

Lines plotted through the given points intersect at (x, y) = (8, -4).

The x-coordinate of the solution is 8.