Final answer:
To solve this system of equations using the substitution method, we can solve one equation for a variable and substitute it into the other equation. The solution to the given system is x = -4 and y = -1.
Step-by-step explanation:
To solve this system of equations using the substitution method, we can start by solving one equation for a variable and substitute it into the other equation. Let's solve the second equation for y: 1y = 5x + 19 becomes y = 5x + 19. Now we can substitute this expression for y in the first equation: -3x - 8(5x + 19) = 20. Simplifying the equation, we get -3x - 40x - 152 = 20. Combining like terms, we have -43x - 152 = 20. Adding 152 to both sides, we get -43x = 172. Finally, dividing both sides by -43, we find x = -4.
To find the value of y, we substitute the value of x into the second equation: y = 5(-4) + 19. Simplifying further, we get y = -20 + 19. Combining like terms, y = -1.
Therefore, the solution to the system of equations is x = -4 and y = -1.
Learn more about Solving systems of equations using substitution