SOLUTION: My daughter has this linear equation question and I don't know how to help her: From 1960 to 1990, the average annual US consumption of pork dropped according to the linear model

Question 21866: My daughter has this linear equation question and I don't know how to help her:
From 1960 to 1990, the average annual US consumption of pork dropped according to the linear model y=-1/3x + 62. The average annual consumpton of chicken rose according to the linear model y=7/6x + 31. For which years did the US consumption of chicken exceed the consumption of pork?
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
he average annual US consumption of pork dropped according to the linear model y=-1/3x + 62. The average annual consumpton of chicken rose according to the linear model y=7/6x + 31. For which years did the US consumption of chicken exceed the consumption of pork?
PORK CONSUMPTION =Y=-1/3 X+62
CHICKEN COSUMPTION=Y=7/6 X+31.....WHEN THE OVER TAKING TAKESPLACE THEY WILL BE EQUAL AND DURING AN YEAR AND CROSS..SO TAKING EQUALTY
Y=7/6 X+31=-1/3 X+62
7/6 X+1/3 X=62-31=31
X(7/6 +1/3)=31
X((7+2)/6)=31
X*9/6=31
X=31*6/9=31*2/3=62/3=20.66
SO IN 21 ST YEAR THE ONSUMPTION WILL BE EQUAL AND THEN CHICKEN CONSUMPTION WILL EXCEED..THAT IS BY 1960+21=1981,THE OVER TAKING WILL TAKE PLACE
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