Final answer:
To solve the system of equations -10x - 4 = 36 and -10x - 79 = 13 using elimination, we can start by multiplying the second equation by -1 so that the coefficients of x will be the same. Next, we can add the two equations together. By applying the distributive property and combining like terms, we get a contradiction, indicating that the system of equations is inconsistent and has no solution.
Step-by-step explanation:
To solve the system of equations
-10x - 4 = 36
-10x - 79 = 13
using elimination, we can start by multiplying the second equation by -1 so that the coefficients of x will be the same:
-10x - 4 = 36
10x + 79 = -13
Next, we can add the two equations together:
(-10x - 4) + (10x + 79) = (36) + (-13)
By applying the distributive property and combining like terms, we get:
75 = 23
This is a contradiction, so the system of equations is inconsistent and has no solution.