Solve the system of equations. {(x,+,4y,=,-2),(-2x,+12y,=,9):}

Solve the system of equations. {(x,+,4y,=,-2),(-2x,+12y,=,9):}

Question
Systems of equations
asked 2021-02-19
Solve the system of equations. {(x,+,4y,=,-2),(-2x,+12y,=,9):}

Answers (1)

2021-02-20
{(x,+,4y,=,-2),(-2x,+12y,=,9):} Multiply equation (1) by 2 {(2x,+,8y,=,-4),(-2x,+12y,=,9):} Add (1) and (2) 20y = 14 y = 14/20 y = 7/10 Subtitute y = 7/10 into equation (1) x = -2 – 4y x = -2 – 28/10 x = - 2 – 14/5 x = -24/5 Thus, the answer is (-24/5 , 7/10)
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