Answer: x = -5, y = 1
Explanation:
These are simultaneous equations
I will use the substitution method
BTW [1] means the top equation, and [2] the bottom equation
Rearrange [2] for x
-x = -4 + 9y
x = 4 - 9y
Substitute 4 - 9y into [1]
3(4 - 9y) - 2y = -17
Expand the bracket
12 - 27y - 2y = -17
Simplify
12 - 29y = -17
Rarrange for y
12 = 29y - 17
29y = 12 + 17 = 29
y = 1
Now substitute y into either equation to solve for x
I will use [2] as it looks easier
-x - 9(1) = -4
Expand the bracket
-x -9 = -4
-x = 5
x = -5
Now lets substitute x and y into [1] to check our answer
3(-5) - 2(1) = -17
-15 - 2 = -17