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4 votes
Steps to perform perform to the system of equations below so that the equations have equal x - coefficients: 4x+2y = 4 and 12x + y = 22

2 Answers

1 vote
4x + 2y =4 (1)
12x + y =22 x2 -> 24x + 2y= 44 (2)
2
(2) - (1) => 20x = 40
x=2

User Dicle
by
7.3k points
5 votes


\bold{[ \ Answer \ ]}


\boxed{\bold{Y \ = \ -2, \ X \ = \ 2}}


\bold{[ \ Explanation \ ]}


  • \bold{System \ Of \ Equations: \ \left \{ {{4x \ + \ 2y \ = \ 4} \atop {12x \ + \ y \ = \ 22}} \right. }


\bold{----------------------}


  • \bold{Isolate \ x \ for \ 4x+2y=4: \ x=(2-y)/(2)}


\bold{For \ x \ = \ (2-y)/(2)}


\bold{Substitute \ y \ = \ -2}


\bold{x=(2-\left(-2\right))/(2)}


  • \bold{Simplify}


\bold{(2-\left(-2\right))/(2) \ = \ 2}


  • \bold{Solutions}


\bold{Y \ = \ -2, \ X \ = \ 2}


\boxed{\bold{[] \ Eclipsed \ []}}

User Aminu
by
8.1k points

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