3X - 2y = 2 5x - 5y = 10

Mathematics

2 answers:

KonstantinChe [14]3 years ago

6 0

Y= 3x over -2 x= 2+9

jasenka [17]3 years ago

6 0

Answer:

x = -2 y = -4

Step-by-step explanation:

3x- 2y = 2 -> 15x - 10y = 10

5x - 5y = 10 -> 15x - 15y = 30

Substract one equation from another:

15x - 15x - 10y + 15y = 10 -30

5y = -20

y = -4

Plug in y into an equation

3x + 8 = 2

3x = - 6

x = - 2

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8 0

4 years ago

Help plsss

LenKa [72]

<h3></h3><h2>⭐ Development:</h2><h3></h3>

Having the expression, let's modify it so it becomes a 2nd degree equation:

$\large {\text {$ \sf \cfrac{1}{2x^2} -2 = 0 $}}$

Now, we will multiply per 2x² both sides of equation...

$\large {\text {$ \sf \cfrac{1}{2x^2}\cdot \:2x^2-2\cdot \:2x^2=0\cdot \:2x^2 $}$

$\searrow$

$\large {\text {$ \sf 1-4x^2=0$}}$

We have to write in standard form...

$\large {\text {$ \sf -4x^2+1 = 0 $}}$

<u />

$\large {\text{$\sf x=\cfrac{-b\pm\sqrt{b^2-4ac}}{2a} \quad\rightarrow\quad x=\cfrac{-0\pm\sqrt{0^2-4\cdot (-4) \cdot1} }{2\cdot (-4) } \:\rightarrow\:\: x=\cfrac{-0^2 \pm4}{2 \cdot(-4)} $}}$

$\huge {\text {$ \sf \downarrow$}}$

$\large {\text {$\sf {\bf x_1} = \cfrac{-0+4}{2\left(-4\right)}= \cfrac{-1}{2} $}}$ $\large {\text {$\sf {\bf x_2 }=\cfrac{-0-4}{2\left(-4\right)} = \cfrac{1}{2} $}}$