6x - 8y = 10
3x - 4y = 5

Infinite solutions

Step-by-step explanation:

In this question, you have to solve the systems of equations.

This means that we have to find the value of x and y.

Solve:

Let solve for x in one of the equations first:

6x - 8y = 10

Add 8y to both sides.

6x = 8y + 10

Divide both sides by 6.

x = 8/6y + 10/6

Simplify.

x = 4/3y + 5/3

Now, plug in the new equation to "x" in our second equation:

3(4/3y + 5/3) -4y = 5

Solve:

3(4/3y + 5/3) - 4y = 5

Distribute the 3, which cancels the denominators.

4y + 5 - 4y = 5

Combine like terms.

5 = 5

Since they equal the same thing, there are infinite solutions.