Question

Can someone solve this? i have a photo.

Answer 1

Answer: $(25,9)$

Step-by-step explanation:

In order to write an equivalent equation for the first equation, you can multiply both sides by 15:

$(15)(\frac{x}{5}+\frac{y}{3})=(8)(15)\\\\3x+5y=120$

Then, you get this system of equations:

$\left \{ {{3x+5y=120} \atop {x-2y=7}} \right.$

Now, you can apply the Elimination Method to solve the system of equations:

1. Multiply the second equation byb -3.

2. Add the equations.

3. Solve for "y".

Then:

$\left \{ {{3x+5y=120} \atop {-3x+6y=-21}} \right.\\.....................\\11y=99\\\\y=9$

4. Substitute the value of "y" into any original equation and solve for "x" in order to find its value:

$x-2(9)=7\\\\x=7+18\\\\x=25$

5. The solution is:

$(25,9)$