Answer:
A = 6
B = 10
Step-by-step explanation:
[] Let's look at the system again:
[tex]\left \{ {{Ax+By=38} \atop {2Ax-By=16}} \right.[/tex]
[] They give us a set of x and y values, (3, 2) so we can plug them into the system.
[tex]\left \{ {{A(3)+B(2)=38} \atop {2A(3)-B(2)=16}} \right.[/tex]
[] Now, we can solve this with a graphing calculator. Let A be x and B be y for the sake of graphing.
A = x
B = y
[tex]\left \{ {{x(3)+y(2)=38} \atop {2x(3)-y(2)=16}} \right.[/tex]
-> See attached
[] We can see the lines intersect at (6, 10) so the answer is A = 6 and B = 10.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
