Solve 89+0.050(T_{1}-25)=4186+0.15(25-21)

$$89 + 0.050 ( T _ { 1 } - 25 ) = 4186 + 0.15 ( 25 - 21 )$$

Solve for T_1

$$T_{1}=81977$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.05 by T_{1}-25.

$$89+0.05T_{1}-1.25=4186+0.15\left(25-21\right)$$

Subtract 1.25 from 89 to get 87.75.

$$87.75+0.05T_{1}=4186+0.15\left(25-21\right)$$

Subtract 21 from 25 to get 4.

$$87.75+0.05T_{1}=4186+0.15\times 4$$

Multiply 0.15 and 4 to get 0.6.

$$87.75+0.05T_{1}=4186+0.6$$

Add 4186 and 0.6 to get 4186.6.

$$87.75+0.05T_{1}=4186.6$$

Subtract 87.75 from both sides.

$$0.05T_{1}=4186.6-87.75$$

Subtract 87.75 from 4186.6 to get 4098.85.

$$0.05T_{1}=4098.85$$

Divide both sides by 0.05.

$$T_{1}=\frac{4098.85}{0.05}$$

Expand \frac{4098.85}{0.05} by multiplying both numerator and the denominator by 100.

$$T_{1}=\frac{409885}{5}$$

Divide 409885 by 5 to get 81977.

$$T_{1}=81977$$