Answer:
(-5, 1)
Explanation:
Using substitution, you can solve the system of equations to first solve for one variable and then solve for the other. Given the following two equations:
y = -x - 4 and y = 3/5x + 4, since both equations are equal to 'y', you can set them equal to each other and solve for 'x':
-x - 4 = 3/5 x + 4
Add 'x' to both sides: -x - 4 + x = 3/5x + 4 + x or -4 = 8/5x + 4
Subtract 4 from both sides: -4 - 4 = 8/5x + 4 - 4 or -8 = 8/5x
Multiply both sides by reciprocal of 8/5 (5/8): (5/8)(-8) = 8/5x(5/8)
Simplify: -5 = x
Solve for y: y = -(-5) - 4 or y = 5 - 4 = 1
(-5, 1)