Solve for I
I=300
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169\times \frac{1}{13}I=65\left(4\times 3+1\right)+65\left(5\times 3+2\right)+741+1209
Multiply both sides of the equation by 195, the least common multiple of 15,13,3.
\frac{169}{13}I=65\left(4\times 3+1\right)+65\left(5\times 3+2\right)+741+1209
Multiply 169 and \frac{1}{13} to get \frac{169}{13}.
13I=65\left(4\times 3+1\right)+65\left(5\times 3+2\right)+741+1209
Divide 169 by 13 to get 13.
13I=65\left(12+1\right)+65\left(5\times 3+2\right)+741+1209
Multiply 4 and 3 to get 12.
13I=65\times 13+65\left(5\times 3+2\right)+741+1209
Add 12 and 1 to get 13.
13I=845+65\left(5\times 3+2\right)+741+1209
Multiply 65 and 13 to get 845.
13I=845+65\left(15+2\right)+741+1209
Multiply 5 and 3 to get 15.
13I=845+65\times 17+741+1209
Add 15 and 2 to get 17.
13I=845+1105+741+1209
Multiply 65 and 17 to get 1105.
13I=1950+741+1209
Add 845 and 1105 to get 1950.
13I=2691+1209
Add 1950 and 741 to get 2691.
13I=3900
Add 2691 and 1209 to get 3900.
I=\frac{3900}{13}
Divide both sides by 13.
I=300
Divide 3900 by 13 to get 300.
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