# How do you solve 2x-3y=8 and x+y=11 using substitution?

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system of equations using substitution. please help I've been stuck on this lesson for weeks.

system of equations using substitution. please help I've been stuck on this lesson for weeks.

##### 3 Answers

#### Explanation:

Our equations are as follows:

Since the second equation is much simpler, we can subtract

Subtracting

We can now substitute this into the first equation:

We can solve for

We can plug this into either equation to solve for

Let's add

We can multiply both sides by the reciprocal of

The

#### Explanation:

We need to solve

Subtract

now substitute

Use the distributive property

#-5y= -14

Divide both sides by

Now substitute

Answer:

#### Explanation:

Isolate

Substitute

So

Or

Check your solution: insert your values in each of the given equations and verify that they satisfy the system:

Your solution is correct.