Solve {l}{3(y-3-1)=x}{2*5(4+77-1)=x}

$$\left\{ \begin{array} { l } { 3 ( y - 3 - 1 ) = x } \\ { 2 \cdot 5 ( 4 + 77 - 1 ) = x } \end{array} \right.$$

Solve for y, x

$$x=800$$

$$y = \frac{812}{3} = 270\frac{2}{3} \approx 270.666666667$$

Solution Steps

Consider the second equation. Multiply 2 and 5 to get 10.

$$10\left(4+77-1\right)=x$$

Add 4 and 77 to get 81.

$$10\left(81-1\right)=x$$

Subtract 1 from 81 to get 80.

$$10\times 80=x$$

Multiply 10 and 80 to get 800.

$$800=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=800$$

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

$$3\left(y-3-1\right)=800$$

Divide both sides by 3.

$$y-3-1=\frac{800}{3}$$

Subtract 1 from -3 to get -4.

$$y-4=\frac{800}{3}$$

Add 4 to both sides.

$$y=\frac{800}{3}+4$$

Add \frac{800}{3} and 4 to get \frac{812}{3}.

$$y=\frac{812}{3}$$

The system is now solved.

$$y=\frac{812}{3} x=800$$