The values x = 1 and y = -3 satisfy the system of equations, confirming that they are a solution to the given set of equations.
To determine whether a given set of values satisfies a system of equations, you need to substitute the values into the equations and check if the equality holds true.
Let's consider the system of equations:
3x + 4y = -10
6x = 2y + 6
Now, if you have specific values for x and y, substitute them into the equations and check if the equality holds.
For example, if x = 1 and y = -3, let's substitute these values into the equations:
3(1) + 4(-3) = -10
(3 - 12) = -10 (This is true)
6(1) = 2(-3) + 6
6 = -6 + 6 (This is true)
So, in this case, the values x = 1 and y = -3 satisfy the given system of equations.