Use elimination to solve the system of equations.

-x + 2y = 18
x + 8y = -38

answer dis mf

To solve the system of equations using elimination, we can add the two equations together to eliminate the variable x.

(-x + 2y) + (x + 8y) = 18 + (-38)

Simplifying the equation, we get:

-1x + 2y + 1x + 8y = -20

Combining like terms, we have:

10y = -20

Dividing both sides of the equation by 10:

y = -2

Now that we have the value of y, we can substitute it back into one of the original equations to solve for x. Let's substitute it into the first equation:

-x + 2(-2) = 18

Simplifying:

-x - 4 = 18

Adding 4 to both sides of the equation:

-x = 22

Now, multiplying both sides of the equation by -1:

x = -22

Therefore, the solution to the system of equations is x = -22 and y = -2.

To solve the system of equations using elimination, we want to eliminate one variable by adding the two equations together. However, to do this, we need to make sure that the coefficients of one of the variables in both equations are opposites of each other.

In this case, we can see that the coefficients of the variable "x" are opposites of each other. To eliminate "x," we can add the two equations together.

(-x + 2y) + (x + 8y) = 18 + (-38)

Simplifying the equation, we get:

-1x + x + 2y + 8y = 18 - 38
10y = -20

Next, we solve for "y" by dividing both sides of the equation by 10:

10y/10 = -20/10
y = -2

Now that we have the value of "y," we can substitute it back into one of the original equations to solve for "x." Let's use the first equation:

-x + 2y = 18

Substituting y = -2:

-x + 2(-2) = 18
-x - 4 = 18

To isolate "x," we add 4 to both sides:

-x - 4 + 4 = 18 + 4
-x = 22

To solve for "x," we multiply both sides by -1:

(-1)(-x) = 22*(-1)
x = -22

So, the solution to the system of equations is x = -22 and y = -2.

Aaron, Anon, and WHY, do this problem the same way that PsyDAG showed you in the last two problems.