# How do I solve this system of equations?

##
#9a + 7b = -30#

#8b + 5c = 11#

#-3a + 10c = 73#

I've never seen a system of equations when more than one variable is missing in each equation.

I've never seen a system of equations when more than one variable is missing in each equation.

##### 1 Answer

#### Explanation:

We can solve a system of equations with missing variables the same way we would one in which each equation contained all variables. It is as if the variables are there and have a coefficient of

Multiplying the third equation by

Adding this to the first equation, we get

**(*)**

Multiplying the second equation by

Subtracting this from **(*)**, we get

Substituting

Substituting

Finally, we check our newfound values

Thus, we get the solution