Solution: (6, 4)
This means x = 6, y = 4
Step-by-step explanation:
x - y = 2
Rewritting:
y = x - 2...equation 1
4x - 3y = 12
Rewritting:
4x - 12 = 3y
y = 4x/3 - 12/3
y = 4x/3 - 4 ....equation 2
To graph both equations, we neeed to assign values for x in order to get corresponding values of y in each of the equation.
using x = -1, 0, 1, 2, 4, 6
y = x - 2...equation 1
when x = -1
y = (-1) -2 = -1 -2
y = -3
when x = 0
y = 0 -2 = -2
when x = 1
y = 1 -2 = -1
when x = 2
y = 2-2 = 0
when x = 4
y = 4 -2 = 2
when y = 6
y = 6-2 = 4
y = 4x/3 - 4 ....equation 2
ywhen x = -1
y = 4/3(-1) - 4 = -4/3 - 4
y = -16/3
when x = 0
y = 4/3(0) - 4 = 0 - 4
y = -4
when x = 1
y = 4/3(1) - 4 = 4/3 - 4 = (4 -12)/3 = -8/3
y = -13/4
when x = 2
y = 4/3(2) - 4 = 8/3 - 4 = = (8-12)/3= -4/3
when x = 4
y = 4/3(4) - 4 = 16/3 - 4 = (16-12)/3 = 4/3
when x = 6
y = 4/3(6) -4 = 24/3 - 4 = 8 - 4 = 4
Note that the graph i attached as more than x = 0, 1, -1, 2, 4, 6
So to get the values of y for x = 8, 10. You will insert each of those numbers in each equations
Now we plot the points we got on a graph:
The solution to a graphing problem with two equations is the point of intersection of both graphs
The point of intersection of the graph (x, y) attached is at (6, 4)
The solution is x = 6, y = 4