Find the value of x for the following system of equations. x + y = 5 x - y = -7 -1 1 -2

(5,20)

Let’s start by rewriting the equations

x+y=5x

-y=-7-11-2

Since the value of y cannot be negative, let’s turn this positive by multiplying each number by -1.

-1 (-y=-7-11-2)

y=7+11+2

Now let’s determine what method we would like to use to solve

When solving a system of equations, you can use one of three methods:

1) Graphing
2) Substitution
3) Elimination

Seeing that we already know how to find y, let’s solve this using the substitution method.

We’re going to start by substituting y into the second equation and solving

x+ 7+11+2=5x

*add 7,11, and 2)

x+20=5x

*subtract x on both sides*

20=4x

*divide both numbers by 4*

5=x

Now that we have x, we have the first number of the ordered pair. It is currently: (5,20)

We found y by adding all the numbers, and found x by solving the equation

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