Answer:
this is a no solution problem, nothing could sub for x and make this true
Answer: $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.
Step-by-step explanation:
1. Let's call the amount he got paid per hour at his job as a cashier:
.
Let's call the amount he got paid per hour at his job delivering newspapers:
.
2. Keeping on mind the information given in the problem above, you can make the following system of equations:
![\left \{ {{5x+4y=77 \atop {6x+3y=78}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B5x%2B4y%3D77%20%5Catop%20%7B6x%2B3y%3D78%7D%7D%20%5Cright.)
3. You can solve it by applying the Substitution method, as following:
- Solve for one of the variables from one of the equations and substitute it into the other equation to solve for the other variable and calculate its value.
- Substitute the value obtained into one of the original equations to solve for the other variable and calculate its value.
4. Therefore, you have:
![5x+4y=77\\5x=77-4y\\x=\frac{77-4y}{5}=15.4-0.8y](https://tex.z-dn.net/?f=5x%2B4y%3D77%5C%5C5x%3D77-4y%5C%5Cx%3D%5Cfrac%7B77-4y%7D%7B5%7D%3D15.4-0.8y)
Then:
![6(15.4-0.8y)+3y=78\\92.4-4.8y+3=78\\-1.8y=-14.4\\y=8](https://tex.z-dn.net/?f=6%2815.4-0.8y%29%2B3y%3D78%5C%5C92.4-4.8y%2B3%3D78%5C%5C-1.8y%3D-14.4%5C%5Cy%3D8)
Finally:
![5x+4(8)=77\\5x+32=77\\5x=45\\x=9](https://tex.z-dn.net/?f=5x%2B4%288%29%3D77%5C%5C5x%2B32%3D77%5C%5C5x%3D45%5C%5Cx%3D9)
Therefore he got paid $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.
Answer:.
Step-by-step explanation: