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3. Use the SUBSTITUTION method to solve this system of equations:

3. Use the SUBSTITUTION method to solve this system of equations:-example-1
User Nighliber
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1 Answer

3 votes

Answer: (2, 9)

Explanation:


\lbrace^(y=5x-1 )_(2y=3x+12)}

Since "y" = "5x - 1", we can replace "y" in the second equation with "5x - 1"

2y = 3x + 12

⇒ 2(5x - 1) = 3x + 12 substituted "y" with "5x - 1"

⇒ 10x - 2 = 3x + 12 distributed 5x - 1 by 2 on left side

⇒ 7x - 2 = 12 subtracted 3x from both sides

⇒ 7x = 14 added 2 to both sides

⇒ x = 2 divided both sides by 2


Next, let's solve for y by substituting "x" with "2":

y = 5x - 1

= 5(2) - 1

= 10 - 1

= 9

User Wickoo
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