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What is the solutions of the following system of equations. y = -2x + 2 y = x – 1
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What is the solutions of the following system of equations.
y = -2x + 2
y = x – 1
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Mathematics
1 year
2021-09-05T07:36:47+00:00
2021-09-05T07:36:47+00:00 1 Answers
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Answers ( )
Answer:
x = 1, y = 0
Step-by-step explanation:
Given the 2 equations
y = – 2x + 2 → (1)
y = x – 1 → (2)
Substitute y = x – 1 into (1)
x – 1 = – 2x + 2 ( add 2x to both sides )
3x – 1 = 2 ( add 1 to both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting into (2)
y = 1 – 1 = 0
Solution is (1, 0 )