Answer:
[tex]x = 28, y = 15[/tex]
Step-by-step explanation:
You can solve this by representing these two statements into equations and solving for one of the variables. Here, I will use x and y, where x > y.
[tex]x + y = 43[/tex]
[tex]3x + 6y = 174[/tex]
Now, we can choose which variable to solve for. I'm going to isolate one of the variables in the first equation by subtracting y from both sides.
[tex]x = 43 -y[/tex]
Using this equation, we can substitute it for the x variable in the second equation like this:
[tex]3(43 -y)+6y=174[/tex]
Simplifying this, we get
[tex]129 + 3y = 174[/tex]
Solving this, we find that y = 15. We can plug this into one of the equations to find x:
[tex]x + 15 = 43[/tex]
Solving for this equation, we find that x = 28.
