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Solutions of Linear Equation in 2 Variables on a Graph

Find the valu...

Question

Find the value of a & b if the line 6bx + at = 24 passes through point (2,0)& (0,2)

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Solution

Equation of line
6bx+at=24
Since line passes through (2,0)
6b2+a0=24
12b+0=24
b=24/12
b=2

Then, since line passes through (0,2)
6b0+a2=24
2a=24
a= 12
Therefore
a=12
b=2

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