# What are x and y if #y = 4x + 3# and #2x + 3y = -5#?

##### 2 Answers

#### Explanation:

show below

put 1 in 2

Through substitution or elimination, we can determined that

#### Explanation:

There are two ways to algebraically solve for

**Method 1: Substitution**

Through this method, we solve to a variable in one equation and plug it in to the other. In this case, we already know the value of

Now, we just need to plug

Therefore,

**Method 2: Elimination**

Through this method, the equations are subtracted so that one of the variables is eliminated. To do this, we must isolate the constant number. In other words, we put

Now, the equations are both in the same form. However, to eliminate one of the variables, we must get

Next, we can subtract the two equations.

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As with the first method, we plug this value back in to find

Therefore,