solve the systemDetermine x and y given that x + 2y = 5 and 2x +4y = 6

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

You also may use elimination method, hence, if you need to eliminate the variable x, you need to multiply by -2 the first equation and add the new equation to the second equation of the system, such that:

`{(-2x - 4y = -10),(2x + 4y = 6):}`

Since the ratio of coefficients of like variables is the same,` -2/2 = -4/4 = -1` , hence, the lines are parallel.

Thus, since the lines are parallel, there exists no solution to the given system of simultaneous equations.

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

We'll change the 1st equation in x = 5 - 2y

We'll substitute it into the second equation:

2(5 - 2y) +4y = 6

We'll remove the brackets:

10 - 4y + 4y = 6

We'll eliminate like terms and we'll get:

10 = 6 impossible!

So, the system formed form the given equations has no solutions!

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