What is the y-coordinate of the solution to the system of the equations y=x-2 y=-x-4

Question

Mathematics

Leah Estes

4 May, 07:45

What is the y-coordinate of the solution to the system of the equations y=x-2 y=-x-4

+2

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Bryant Cabrera · Answer 1

I will solve your system by substitution. y = x-2; y = - x - 4 Step: Solve y = x-2 for y:Step: Substitute x-2 foryin y = - x - 4 : y = - x - 4 x-2 = - x - 4 x-2 + x = - x - 4 + x (Add x to both sides) 2x - 2 = - 4 2x - 2 + 2 = - 4 + 2 (Add 2 to both sides) 2x = - 2 2x 2 = - 2 2 (Divide both sides by 2) x = - 1 Step: Substitute - 1 for x in y = x-2 : y = x-2 y = - 1 - 2 y = - 3 (Simplify both sides of the equation) Answer: x = - 1 and y = - 3

x = - 1

y = - 3