Question 1102553
Both are linear equations. Where they intersect is where they are equal
-255x+2y=56,937
- 842x+3y=42,751
multiply top by -3 and bottom by 2 to eliminate y
765x-6y=-170811
-1684x+6y=85502 add them
-919x=-85309 divide by -919 both sides
x=92.83
substitute into first equation to get y
-23671.16+2y=56937
2y=80608.16
y=40304.08
Check in second equation
-842*92.83+3(40304.08)=42749.38, close enough with rounding.
x=92.83 which will be in 2073.83 or well into that year.
y=40304.08, which is what the income will be in constant 2006 dollars