<em>Okay! So, first create a system of equations - let a be the duration of a Plan A session and b be the duration of a Plan B session</em>
<em> </em>
<em>For Wednesday: 5a + 8b = 6 hours</em>
<em>For Thursday: 3a + 2b = 7 hours</em>
<em>You can use several methods but I'm going to use elimination!</em>
<em>Multiply the first equation by -4,and multiply the second equation by 1</em>
−4(3a+2b=7)
1(5a+8b=6)
<em>Becomes: </em>
−12a−8b=−28
5a+8b=6
<em>Then, add these two equations to eliminate b.</em>
−7a=−22
<em>Then solve−7a=−22 for a by dividing both sides by -7</em>
a= 22/7 or 3.1 ( round 3.14285714 down)
<em>Now that we've found a, let's plug it back in to solve for b.</em>
<em>Write down one of the original equations, I'm going to choose 3a+2b=7. Substitute 22/7 for a.</em>
3(22/7)+2b=7
<em>Solve from here, and you'll end up with b= -17/14 or -1.2 ( round -1.21428571 down)</em>
<em>So, again, </em><em>a= 22/7 or 3.1</em><em> and </em><em>b= -17/14 or -1.2</em>
<em>I hope this helps!</em>
