Question

3x +5y=15
2x -3y=1

Sistema de ecuación

Answer 1

Explicación paso a paso:

[1] 3x + 5y = 15

[2] 2x - 3y = -4

Despejando x en [1] y [2]

3x + 5y = 15

x = 15/3 - 5y/3 [3]

2x - 3y = -4

x = -4/2 + 3y/2 [4]

[3] = [4]

(15-5y)/3 = (-4 + 3y)/2

2(15 - 5y) = 3(-4 + 3y)

30 - 10y = -12 + 9y

-10y - 9y = -12 - 30

-19y = -42

y = 42/19

Reemplazando y en [4]

x = -2 + (3/2)(42/19)

x = -2 + 126/38

x = (-76 + 126)/38

x = 50/38

Comprobando x, y en [2]

2x - 3y = -4

2(50/38) - 3(42/19) = -4

100/38 - 126/19 = -4

(100 - 252)/38 = -4

-152/38 = -4

-4 = -4

Answer 2

$\huge{ \colorbox{azure}{Hola}}$

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$\bf{ \green{3 \: x +5y=15 }}$

$\bf{ \green{3 \: x + 5y-15-15-15}}$

$\bf{ \red{3 \: x + 5y - 15-0}}$

Solución:

$</u></strong></p><p><strong><u>[tex] \bf3x + 5y - 15-0$

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$\bf{ \orange{2 \: x -3 \: y =1 }}$

$\bf{ \orange{2 \: x \: -3y-1-1-1}}$

$\bf{ \red{2 \: x \: -3y-1=0}}$

Solución:

$\bf{2x-3y-1=0}$

❄Saludos cordiales☃️