Question

Find the value of Q in the following system so that the solution to the system is (v, y) : x – 3y = 4.

a) 2
b) 3
c) 4
d) 5

Answer 1

To find the value of Q in the given system, we rearrange the equation and solve for y (or v). We find that y (or v) = (4 - x) / -3. The value of Q in the system is 3.

Step-by-step explanation:

To find the value of Q that will yield the specified solution to the system, we need to solve the given equation. The equation is x – 3y = 4. We can set y to a variable, say v, and rewrite the equation as x - 3v = 4.

Now, we can solve for v by rearranging the equation to isolate v. Subtracting x from both sides gives -3v = 4 - x. Finally, divide both sides by -3 to find v: v = (4 - x) / -3.

Therefore, we have found the value of y (or v) to be (4 - x) / -3. So, the value of Q that will yield the solution (v, y) is the constant in that equation, which is 3. Therefore, the correct option is b) 3.