The two equations are:
and
![5x+8y=775](https://tex.z-dn.net/?f=5x%2B8y%3D775)
<em>Where, </em><em>x is the number of quick car washes</em><em> and </em><em>y is the number of premium car washes</em><em>.</em>
Multiplying the first equation by -5 we have:
![(-5)*[x+y=125]\\=-5x-5y=-625](https://tex.z-dn.net/?f=%28-5%29%2A%5Bx%2By%3D125%5D%5C%5C%3D-5x-5y%3D-625)
Now adding this to the second equation and then solving for y, we have:
![3y=150\\y=\frac{150}{3}\\y=50](https://tex.z-dn.net/?f=3y%3D150%5C%5Cy%3D%5Cfrac%7B150%7D%7B3%7D%5C%5Cy%3D50)
Now, taking y = 50 and putting it in any one of the original equations <em>(let's put in the first one)</em> will give us x.
![x+y=125\\x+50=125\\x=125-50\\x=75](https://tex.z-dn.net/?f=x%2By%3D125%5C%5Cx%2B50%3D125%5C%5Cx%3D125-50%5C%5Cx%3D75)
Hence, there was 50 premium car washes and 75 quick car washes.
ANSWER:
"How many premium car washes were ordered?" 50
"How many quick car washes were ordered?" 75