Solving systems by elimination

Question

4 years ago

11

%20%3D%203" id="TexFormula1" title="12x + 9y = 15 \\ 3 x + 2y = 3" alt="12x + 9y = 15 \\ 3 x + 2y = 3" align="absmiddle" class="latex-formula">

1 answer:

nadya68 [22] · Answer 1 · 2022-01-24T08:45:03+03:00

By solving system by elimination, x= -1 and y=3

Step-by-step explanation:

We need to solve the systems by elimination.

$12x+9y=15\,\,\,(1)\\3x+2y=3\,\,\,(2)$

Multiply eq(2) with 4 and subtract eq (1) and eq(2)

$12x+9y=15\,\,\,(1)\\12x+8y=12\,\,\,(2)\\-\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,-\\--------\\y=3$

Now, multiply eq(1) with 2 and eq(2) with 9 and subtracting both equations:

$24x+18y=30\\27x+18y=27\\-\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-\\-------\\-3x=3\\x=\frac{3}{-3}\\ x=-1$

So, by solving system by elimination, x= -1 and y=3

Keywords: Systems by elimination

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