# How do you solve the simultaneous equations 5x/8 + 7y/18 = 6 and 3x - y = 3?

Jul 22, 2015

$\left(x , y\right) \setminus \in \left\{\left(4 , 9\right)\right\}$

#### Explanation:

$3 x - 3 = y$

$\frac{5}{8} x + \frac{7}{18} \left(3 x - 3\right) = 6$

$\frac{5}{8} x \cdot 24 + \frac{7}{6} \left(x - 1\right) \cdot 24 = 6 \cdot 24$

$15 x + 28 \left(x - 1\right) = 144$

$15 x + 28 x = 144 + 28$

$x = \frac{172}{43} = 4$

$y = 3 \cdot 4 - 3$