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Y= 1/3x+3 Y=2x-2 How can I solve of systems of equation substitution.?
Question
Y= 1/3x+3
Y=2x-2
How can I solve of systems of equation substitution.?
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Mathematics
4 years
2021-09-04T18:22:41+00:00
2021-09-04T18:22:41+00:00 1 Answers
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Answers ( )
Answer:
x=3, Y= 4
Step-by-step explanation:
① Label the 2 equations
Y= ⅓x +3 —–(1)
Y= 2x -2 —–(2)
② Since both equations are Y= ____, substitute one equation into the other so that we are left with x terms and constant only.
subst. (1) into (2):
⅓x +3= 2x -2
③ Bring x terms to one side and constants to the other.
2x -⅓x= 3 +2
simplify:
④ Solve for y.
Subst. x=3 into (2):
Y= 2(3) -2
Y= 6 -2
Y= 4