# How do you solve the following system: 2x + 3y = 34, 5x - 3y = 29?

Jun 9, 2016

x=9; y=$\frac{16}{3}$

#### Explanation:

If both equations are added it would be

7x= 34+29=63

Thus x= 63/7=9. With x=9 the first equation would become

2(9) +3y=34
Or, 3y= 34-18= 16
thus y= $\frac{16}{3}$