Solve the following system of linear equations: x + y = 7; 2x - 3y = 4. Hence, obtain the value of 3x-2ya.2b.5c.7d.11

Sure, let's solve the system of linear equations first:

1. x + y = 7
2. 2x - 3y = 4

Step 1: Solve the first equation for x:

x = 7 - y

Step 2: Substitute x in the second equation:

2(7 - y) - 3y = 4 14 - 2y - 3y = 4 14 - 5y = 4 5y = 14 - 4 5y = 10 y = 10 / 5 y = 2

Step 3: Substitute y = 2 into the first equation:

x + 2 = 7 x = 7 - 2 x = 5

So, the solution to the system of equations is x = 5 and y = 2.

Now, let's find the value of 3x - 2y:

3x - 2y = 35 - 22 = 15 - 4 = 11

So, the value of 3x - 2y is 11.