Solve {l}{3,3x+1,7y=11}{4y-3y=5}

$$\left. \begin{array} { l } { 3,3 x + 1,7 y = 11 } \\ { 4 y - 3 y = 5 } \end{array} \right.$$

Solve for x, y

$$x=\frac{25}{33}\approx 0,757575758$$

$$y=5$$

Solution Steps

Consider the second equation. Combine 4y and -3y to get y.

$$y=5$$

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

$$3,3x+1,7\times 5=11$$

Multiply 1,7 and 5 to get 8,5.

$$3,3x+8,5=11$$

Subtract 8,5 from both sides.

$$3,3x=11-8,5$$

Subtract 8,5 from 11 to get 2,5.

$$3,3x=2,5$$

Divide both sides by 3,3.

$$x=\frac{2,5}{3,3}$$

Expand \frac{2,5}{3,3} by multiplying both numerator and the denominator by 10.

$$x=\frac{25}{33}$$

The system is now solved.

$$x=\frac{25}{33} y=5$$