Answer:
y = -3
x = 1
Explanation:
To solve the system of equations using substitution, we need to isolate one variable in terms of the other in one of the equations and substitute this expression into the other equation. We can then solve for the remaining variable.
In this case, we are given two equations:6x - 9 = y
y = -3x
We can substitute the expression for y from the second equation into the first equation to get:
6x - 9 = -3x
Now we can solve for x:
6x + 3x = 9
9x = 9
x = 1
We can substitute this value of x back into one of the original equations to solve for y. Using the second equation, we have:
y = -3(1) = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
To verify the solution, we can substitute the values of x and y into the original equations and check if they are satisfied:
6x - 9 = y
6(1) - 9 = -3
-3 = -3
This equation is true, so x = 1 and y = -3 satisfy the first equation.
y = -3x
-3 = -3(1)
This equation is also true, so x = 1 and y = -3 satisfy the second equation.
Since x = 1 and y = -3 satisfy both equations, they are the solution to the system of equations using substitution.