Answer: x = 8 1/9, y = 1 1/3
Step-by-step explanation:
We can solve this by either of two ways: Solve the equations or graph the two lines abnd find where they intersect (the one point that satisfies both equations.
SOLVE
3x+y=23 [modify this equation so that one of the terms drops out when added to the second equation]
-6x-2y=-46 [let's multiply it by -2]
6x-y=50 [Add the second equation]
-3y=4 [Result of addition]
y=-(4/3), or 1 1/3 [The value of y. Now use this in either equation to find x
3x+y=23
3x-(4/3)=23
3x=23+(4/3)
3x= (73/3)
x = (73/9), or 8 1/9
GRAPH
The attached graph shows the intersection of the two lines at (8.111, -1.333), the same as we found in the above calculation.
