Solve Graphically t/60+t/65=1

Math
t60+t65=1
Simplify t60+t65.
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To write t60 as a fraction with a common denominator, multiply by 1313.
t60⋅1313+t65=1
To write t65 as a fraction with a common denominator, multiply by 1212.
t60⋅1313+t65⋅1212=1
Write each expression with a common denominator of 780, by multiplying each by an appropriate factor of 1.
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Multiply t60 and 1313.
t⋅1360⋅13+t65⋅1212=1
Multiply 60 by 13.
t⋅13780+t65⋅1212=1
Multiply t65 and 1212.
t⋅13780+t⋅1265⋅12=1
Multiply 65 by 12.
t⋅13780+t⋅12780=1
t⋅13780+t⋅12780=1
Combine the numerators over the common denominator.
t⋅13+t⋅12780=1
Simplify the numerator.
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Move 13 to the left of t.
13⋅t+t⋅12780=1
Move 12 to the left of t.
13t+12⋅t780=1
Add 13t and 12t.
25t780=1
25t780=1
Cancel the common factor of 25 and 780.
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Factor 5 out of 25t.
5(5t)780=1
Cancel the common factors.
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Factor 5 out of 780.
5(5t)5(156)=1
Cancel the common factor.
5(5t)5⋅156=1
Rewrite the expression.
5t156=1
5t156=1
5t156=1
5t156=1
Graph each side of the equation. The solution is the x-value of the point of intersection.
t≈31.2
Solve Graphically t/60+t/65=1

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