# Math Help - simultaneous equation

1. ## simultaneous equation

hi, can anyone figure out the solution to

4x + 3y = 17 and y = 3/4x - 19/4

and if possible can you show me exactly how you figure it out step by step?

thanks for any help

2. ah, in case anyone was in the process of writing a reply to this, i just realised that the answer must be x = 5 and y = -1.

sorry for any inconvenience

3. $\left\{\begin{array}{ll}4x+3y=17\\y=\frac{3}{4}x-\frac{19}{4}\end{array}\right.$

Replace y in the first equation:

$4x+3\left(\frac{3}{4}x-\frac{19}{4}\right)=17$

$25x=125\Rightarrow x=5$

Now find y.