Question

Solve the system using substitution.
x+y= 2,
y=x-4
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Help Resou

Answer 1

(3, - 1 )

Explanation:

given the system of equations

x + y = 2 → (1)

y = x - 4 → (2)

substitute y = x - 4 into (1)

x + x - 4 = 2

2x - 4 = 2 ( add 4 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

substitute x = 3 into (2) and solve for y

y = 3 - 4 = - 1

solution is (3, - 1 )