If x and y are 2 real numbers such that 5x+4y=9 and 3x+2y=5, then what is 4x+3y?

We'll have to solve the system of equations to determine x
and y.

We'll apply elimination method. For this reason,
we''ll multiply the 2nd equation by -2 and we'll add the resulting equation to the first
one.

-2(3x+2y) = -2*5

We'll
remove the brackets:

-6x - 4y =
-10

We'll add the resulting equation to the 1st
equation:

-6x - 4y + 5x + 4y = 9 -
10

We'll eliminate y and we'll combine like
terms:

-x = -1

x =
1

We'll substitute x = 1 into the 1st
equation:

5 + 4y = 9

4y = 9 -
5

4y = 4

y 
=1

Now, we'll calculate
4x+3y:

4x+3y = 4*1 + 3*1 =
7

The result of the expression 4x+3y, for x =
y = 1, is 4x+3y = 7.