If is a solution to the system of equations above, what is the value of ?

24/25

Step-by-step explanation:

Step 1: Define systems of equation

10x - 16y = 12

5x - 3y = 4

Step 2: Rewrite one of the equations

5x = 4 + 3y

x = 4/5 + 3y/5

Step 3: Solve for y using Substitution

Step 4: Substitute y back into an original equation to solve for x

Step 5: Check to see if solution set (14/25, -2/5) is a solution.

Here, we see that x = 14/25, y = -2/5 and solution (14/25, -2/5) indeed works.

Step 6: Find x - y

x = 14/25

y = -2/5

Hope this helped! :)

Step-by-step explanation:

We are given the system:

And asked to find the value of x - y if (x, y) is a solution to the above system.

Thus, let's solve the system. We can use eliminiation

We can see that the coefficients of x share a LCM.

Multiplying the second equation by negative two yields:

Adding the two equations yields:

Simplify:

Solve for y:

To find x, substitute y for either equation and evaluate. The second equation states that:

Substitute:

Multiply:

And solve for x:

Hence, our solution to the system is:

We want to find the value of:

Substitute:

Evaluate. Hence:

And we're done!