Question

Solve the system of equations using any method. Record your answer as an ordered pair.

3a + 5b = -27
4x - 4y = -46

Answer 1

a = -9 - (5/3)b

x = y - 11.5

Explanation:

Here are the original equations:

3a + 5b = -27

4x - 4y = -46

Let's solve this system using the elimination method:

First, let's simplify the equations by dividing both equations by their respective common factors:

a + (5/3)b = -9

x - y = -11.5

Now, we can solve for a and x:

From equation 2, we can express x in terms of y:

x = y - 11.5

Substitute this expression for x into equation 1:

a + (5/3)b = -9

Now, we can solve for a:

a = -9 - (5/3)b

Now, we have expressions for both a and x in terms of b and y:

a = -9 - (5/3)b

x = y - 11.5