Final answer:
To solve the system of equations by substitution, substitute the value of y from the second equation into the first equation, then solve for x. Substitute the value of x back into the second equation to find the value of y. The solution to the system of equations is x = -4 and y = -12.
Step-by-step explanation:
To solve the system of equations by substitution, we can start by substituting the value of y from the second equation into the first equation. The second equation is y = 3x. So, we can replace y in the first equation with 3x.
We have the equation 10x - 2(3x) = -16. Simplifying this equation gives us 10x - 6x = -16.
Combining like terms, we get 4x = -16. Dividing both sides of the equation by 4 gives us x = -4.
Since we have found the value of x, we can substitute it back into the second equation to find the value of y. Substituting -4 for x in y = 3x gives us y = 3(-4) = -12.
Therefore, the solution to the system of equations is x = -4 and y = -12.