Question

Help me with number 4 please

Answer 1

A = 6

B = 10

Explanation:

[] Let's look at the system again:

`\left \{ {{Ax+By=38} \atop {2Ax-By=16}} \right.`

[] They give us a set of x and y values, (3, 2) so we can plug them into the system.

`\left \{ {{A(3)+B(2)=38} \atop {2A(3)-B(2)=16}} \right.`

[] 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

`\left \{ {{x(3)+y(2)=38} \atop {2x(3)-y(2)=16}} \right.`

-> 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