Question

What is the answer to this question 6x-5y=9
y=4x-1

Answer 1

Answer:

x=-2/7

y==-15/7

Step-by-step explanation:

1:6x-5y=9 --->/5----. 6/5 x-y=9/5

2:-4x+y=-1

adding 1 to 2

-4x+y=-1

6/5x-y=9/5

-14/5 x=4/5

x=-2/7

y=4*-2/7 -1

y==-15/7

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Value\:of\:x=\frac{-2}{7}}}}$

$\green{\tt{\therefore{Value\:of\:y=\frac{-15}{7}}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given:}} \\ \tt: \implies 6x - 5y = 9 \\ \\ \tt: \implies y = 4x - 1 \\ \\ \red{\underline \bold{To \: Find:}} \\ \tt: \implies Value \: of \: x = ? \\ \\ \tt: \implies Value \: of \: y = ?$

• According to given question :

$\tt: \implies 6x - 5y = 9 - - - - - (1)\\ \\ \tt: \implies y = 4x - 1 - - - - - (2) \\ \\ \bold{Using \:substitution \: metod} \\ \tt: \implies 6x - 5(4x - 1) = 9 \\ \\ \tt: \implies 6x - 20x + 5 = 9 \\ \\ \tt: \implies - 14x = 9 -5 \\ \\ \tt: \implies - 14x = 4\\ \\ \tt: \implies x = \frac{ -4}{14} \\ \\ \green{\tt: \implies x = \frac{-2}{7}} \\ \\ \text{Putting \: value \: of \: x \: in \: (2)} \\ \tt: \implies y = 4x - 1 \\ \\ \tt: \implies y = 4 \times (\frac{-2}{7}) - 1 \\ \\ \tt: \implies y = \frac{-8-7}{7} \\ \\ \green{\tt: \implies y = \frac{-15}{7}}$