Answer:
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