Question

3x+5y =7 11x_13 =9 linear equation​

Answer 1

We have been given the equation

3x +5y = 7........(1)

11x-13y =9 ........(2)

Solve for y in equation (1),

$$\begin{lgathered}5y=-3x+7\\y=-\frac{3}{5}x+\frac{7}{5}\end{lgathered}$$

Plugging this value of y in equation 2

$$\begin{lgathered}11x-13(-\frac{3}{5}x+\frac{7}{5})=9\\\\11x+\frac{39}{5}x-\frac{91}{5}=9\\\\55x+39x=136\\\\94x=136\\\\x=\frac{68}{47}\end{lgathered}$$

Thus, the value of y is

$$\begin{lgathered}y=-\frac{3}{5}\cdot\frac{68}{47}+\frac{7}{5}\\\\y=\frac{25}{47}\end{lgathered}$$