URGENT 15 POINTS!!!!What is the solution of the system?

2 answers:

8 0

The elimination method is a sufficient way to solve problems.

2x+y= 20
6x-5y=12

Add 5y to the one equation.

2x+6y= 20
6x= 12

Subtract 2x from both sides.

6y= 20
4x= 12

Divide 6 by 20.
y= 3.3

Divide 4 by 12.
x= 3

I hope this helped you!

Brainliest answer is appreciated!

Mila [183]4 years ago

8 0

I don't know if this helps but...
(2x4)+6=10
(6x12) - (5x12) = 12

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$9x+4y=-16\implies \stackrel{\textit{using x = 0}~\hfill }{9(0)+4y=-16}\implies 4y=-16 \\\\\\ y=\cfrac{-16}{4}\implies y=-4~\hspace{10em}(0~~,~~-4) \\\\[-0.35em] ~\dotfill\\\\ 9x+4y=-16\implies \stackrel{\textit{using x = -4}~\hfill }{9(-4)+4y=-16}\implies -36+4y=-16 \\\\\\ 4y=20\implies y = \cfrac{20}{4}\implies y = 5~\hspace{10em}(-4~~,~~5)$

check the red line in the picture below.

$5x+2y=8\implies \stackrel{\textit{using x = 0}~\hfill }{5(0)+2y=8}\implies 2y=8\implies y=\cfrac{8}{2}\implies y=4 \\\\\\ ~\hspace{10em}~\hspace{10em}(0~~,~~4) \\\\\\ 5x+2y=8\implies \stackrel{\textit{using x = 4}~\hfill }{5(4)+2y=8}\implies 20+2y=8\implies 2y=-12 \\\\\\ y=\cfrac{-12}{2}\implies y=-6~\hspace{10em}(4~~,~~-6)$