# Can some one show me how to use the Substitution method to solve the system of these equations.

x + y = -4

x - y = 2

x + y = 10

y = x + 8

on the first set.

Solve for either x or y in either equation, then put that value into the other equation.

Example:

x + y = -4

x - y = 2

solve for x in the first:

x= -y-4

Put it in the second then..

-y-4 -y=2

-2y=6

y=-3

then solve for x..

x=-y-4=-1

## To use the Substitution method, follow these steps:

Step 1: Choose one of the equations and solve for either variable (x or y) in terms of the other variable.

For the first set of equations:

x + y = -4

x - y = 2

Let's solve for x in the first equation:

x = -y - 4

Step 2: Substitute the value of the variable you solved for in Step 1 into the other equation.

Using the second equation:

x - y = 2

Substitute x = -y - 4:

(-y - 4) - y = 2

Step 3: Solve the resulting equation for the remaining variable.

Simplifying the equation:

-y - 4 - y = 2

-2y - 4 = 2

-2y = 6

Divide by -2:

y = -3

Step 4: Substitute the value of y back into one of the original equations to solve for the other variable.

Using the first equation:

x + y = -4

Substitute y = -3:

x + (-3) = -4

x - 3 = -4

Add 3 to both sides:

x = -1

So the solution to the first set of equations is x = -1 and y = -3.

Now, let's go through the same steps for the second set of equations:

Step 1: Solve for y in terms of x in the second equation:

y = x + 8

Step 2: Substitute y = x + 8 into the first equation:

x + y = 10

x + (x + 8) = 10

Step 3: Simplify the equation:

2x + 8 = 10

Subtract 8 from both sides:

2x = 2

Divide by 2:

x = 1

Step 4: Substitute the value of x back into one of the original equations to solve for y.

Using the second equation:

y = x + 8

y = 1 + 8

y = 9

So the solution to the second set of equations is x = 1 and y = 9.

That's how you use the Substitution method to solve a system of equations.