SOLUTION: If (2, 1) and (1, 0) lie on the graph of x÷a + y÷b=1, then the values of a and b are

Algebra ->  Linear-equations -> SOLUTION: If (2, 1) and (1, 0) lie on the graph of x÷a + y÷b=1, then the values of a and b are      Log On


   

Question 855693: If (2, 1) and (1, 0) lie on the graph of x÷a + y÷b=1, then the values of a and b are
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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If (2, 1) and (1, 0) lie on the graph of x÷a + y÷b=1, then the values of a and b are
:
x%2Fa+%2B+y%2Fb = 1
:
x=2, y=1
2%2Fa+%2B+1%2Fb = 1
:
x=1, y=0
1%2Fa+%2B+0%2Fb = 1
1%2Fa = 1
a = 1
replace a with 1 in the 1st equation
2%2F1+%2B+1%2Fb = 1
2 + 1%2Fb = 1
1%2Fb = 1 - 2
1%2Fb = -1
b = -1
:
:
Check solutions in both statements