Solve {l}{3x+60t=53}{151+5t=53}

$$\left\{ \begin{array} { l } { 3 x + 60 t = 53 } \\ { 151 + 5 t = 53 } \end{array} \right.$$

Solve for x, t

$$x = \frac{1229}{3} = 409\frac{2}{3} \approx 409.666666667$$

$$t = -\frac{98}{5} = -19\frac{3}{5} = -19.6$$

Solution Steps

Consider the second equation. Subtract 151 from both sides.

$$5t=53-151$$

Subtract 151 from 53 to get -98.

$$5t=-98$$

Divide both sides by 5.

$$t=-\frac{98}{5}$$

Consider the first equation. Insert the known values of variables into the equation.

$$3x+60\left(-\frac{98}{5}\right)=53$$

Multiply 60 and -\frac{98}{5} to get -1176.

$$3x-1176=53$$

Add 1176 to both sides.

$$3x=53+1176$$

Add 53 and 1176 to get 1229.

$$3x=1229$$

Divide both sides by 3.

$$x=\frac{1229}{3}$$

The system is now solved.

$$x=\frac{1229}{3} t=-\frac{98}{5}$$