Question

Solve the system of equations and choose the correct ordered pair. 2x + 6y = 6 3x – 2y = 20

Answer 1

(6,-1)
Multiply each equation by the value that makes the coefficients of xx opposite.(−3)⋅(2x+6y)=(−3)(6)(-3)⋅(2x+6y)=(-3)(6)(2)⋅(3x−2y)=(2)(20)(2)⋅(3x-2y)=(2)(20)Simplify.−6x−18y=−18-6x-18y=-186x−4y=406x-4y=40Add the two equations together to eliminate xx from the system.Divide each term by −22-22 and simplify.Tap for more steps...y=−1y=-1Substitute the value found for yy into one of the original equations, then solve for xx.Tap for more steps...x=6x=6The solution to the independent system of equations can be represented as a point.(6,−1)

Answer 2

solution is (6,-1)

Explanation:

`2x + 6y = 6`

`3x – 2y = 20`

WE use elimination method to solve for x and y

Multiply the second equation by 3

`3x – 2y = 20` times 3

`9x – 6y = 60`

`2x + 6y = 6` , add both equations

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`11x = 66`

Divide both sides by 11

`x=6`

Plug in 6 for x in first equation

`2x + 6y = 6`

`2(6) + 6y = 6`

`12 + 6y = 6`, subtract 12 on both sides

`6y = -6`

divide both sides by 6

`y=-1`

`x=6  \ and \ y= -1`