What is the solution to the system of equations represented by the two equations?
2 answers:
There are 2 placeholder it's easier if we had one get rid of one with subsitutuion y=-2x+7 y=1/3x therefor -2x+7=y=1/3x -2x+7=1/3x solve for x multipl yboth sides by 3 -6x+21=x add 6x to both sides 21=7x divide both sides by 7 3=x subsitute y=1/3x y=1/3(3) y=3/3 y=1 the solution is x=3 y=1 or the point (x,y) (3,1)
If you would like to solve the following system of equations, you can do this like this:y = - 2 * x + 7 y = 1/3 * x ____________1/3 * x = - 2 * x + 7 1/3 * x + 2 * x = 7 1/3 * x + 6/3 * x = 7 7/3 * x = 7 /*3/7 x = 7 * 3 / 7x = 3 y = 1/3 * x = 1/3 * 3 = 1 The correct result would be: x = 3 and y = 1 .
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