# How do you substitute to determine if the ordered pair (3, 2) is a solution of the system of equations y=-x+5 and x-2y=-4?

##### 3 Answers

#### Answer:

#### Explanation:

You substitute the new thing for the old thing,

and you replace the old thing with or by the new thing.

Substitute 3 for x and 2 for y, and check if both equations are correct?

Is

Is

Is this true

(3,2) lies on one the line but not both, and it is not the not a solution of the system of equations.

#### Answer:

See Below.

#### Explanation:

In an **ordered pair**

variable and the second term is the value for the second variable in

a system of simultaneous equations.

So, Here, We have,

And, The Equations:

Let's substitute

*For (i):*

*For (ii):*

So, The ordered pair **isn't** a solution for this system of simultaneous equations.

Hope this helps.

#### Answer:

The solution is

#### Explanation:

Since Equation 1 is already solved for

Expand.

Simplify.

Add

Simplify.

Divide both sides by

Now substitute

The solution is

graph{(y+x-5)(x-2y+4)=0 [-10, 10, -5, 5]}