Use the solution of the system below to find x-y:

4x-2y=11
3x-4y=-6

a 11.3
b 0.1
c -0.1
d -11.3

please explin how to do this.
Thanks!!!

Use one equation to isolate either x or y.

4x = 11 + 2y
x = 11/4 + 1/2y

Substitute that value for x in the second equation and solve for y. Put that value back in the first equation to solve for x. Check by putting both values into the second equation.

Subtract y from x.

I hope this helps. Thanks for asking.

To find the value of x - y using the given system of equations, we need to solve the system and substitute the values of x and y into the expression x - y.

Step 1: Solve the system of equations:
We can use the method of substitution or elimination to solve the system. Let's use the elimination method:

Multiply the first equation by 2 and the second equation by 4 to eliminate the y coefficient:
8x - 4y = 22
12x - 16y = -24

Subtract the second equation from the first equation to eliminate x:
(8x - 4y) - (12x - 16y) = 22 - (-24)
8x - 4y - 12x + 16y = 22 + 24
-4x + 12y = 46

Divide the equation by 4 to simplify it:
- x + 3y = 11.5 [equation 3]

Now we have two equations:
- x + 3y = 11.5 [equation 3]
3x - 4y = -6 [equation 2]

Step 2: Substitute the value of x and y into the expression x - y:

Solve equation 3 for x:
-x = 11.5 - 3y
x = -11.5 + 3y

Substitute x into equation 2:
3(-11.5 + 3y) - 4y = -6
-34.5 + 9y - 4y = -6
5y = -6 + 34.5
5y = 28.5
y = 28.5 / 5
y = 5.7

Substitute the value of y into equation 3 to find x:
- x + 3(5.7) = 11.5
- x + 17.1 = 11.5
- x = 11.5 - 17.1
- x = -5.6
x = 5.6

Finally, substitute the values of x = 5.6 and y = 5.7 into the expression x - y:
x - y = 5.6 - 5.7 = -0.1

Therefore, x - y is approximately -0.1, so the correct answer is option c) -0.1.

To find the value of x-y, we need to solve the given system of equations. There are multiple methods to solve this, but let's use the method of substitution.

First, we solve one of the equations for one variable in terms of the other. Let's solve the first equation for x:

4x - 2y = 11

Rearranging the equation:

4x = 11 + 2y

Dividing by 4 on both sides:

x = (11 + 2y) / 4

Now, substitute this value of x into the second equation:

3((11 + 2y) / 4) - 4y = -6

Rearranging and simplifying the equation:

33 + 6y - 16y = -24

Combine like terms:

-10y = -57

Dividing by -10 on both sides:

y = 57 / 10

Now that we have the value of y, substitute it back into the equation for x:

x = (11 + 2(57/10)) / 4

Simplifying:

x = (11 + (114/10)) / 4

x = (11 + 11.4) / 4

x = 22.4 / 4

x = 5.6

Finally, to find x-y, subtract y from x:

x - y = 5.6 - (57/10)

Multiplying the denominator by 10 to get a common denominator:

x - y = (56/10) - (57/10)

Simplifying:

x - y = -1/10

So, the value of x-y is -1/10.

Therefore, the correct answer is c) -0.1.