Question

Solve for x and y:

2x − y = −3; 3x − 5y = −1

Answer 1

Answer:

2−=−3;3−5=−1

Step-by-step explanation:

hope it help you

Answer 2

Answer

$\sf \dashrightarrow 2x - y = -3 \: \: --- (i)$

$\sf \dashrightarrow 3x - 5y = -1 \: \: -- (ii)$

By first equation,

$\sf \dashrightarrow 2x - y = -3$

$\sf \dashrightarrow 2x = -3 + y$

$\sf \dashrightarrow x = \dfrac{-3 + y}{2}$

Now, we should find the value of y by second equation.

$\sf \dashrightarrow 3x - 5y = -1$

$\sf \dashrightarrow 3 \bigg( \dfrac{-3 + y}{2} \bigg) - 5y = -1$

$\sf \dashrightarrow \dfrac{-9 + 3y}{2} - 5y = -1$

$\sf \dashrightarrow \dfrac{-9 + 3y - 10y}{2} = -1$

$\sf \dashrightarrow \dfrac{-9 - 7y}{2} = -1$

$\sf \dashrightarrow -9 - 7y = -1 \times 2$

$\sf \dashrightarrow -9 - 7y = -2$

$\sf \dashrightarrow -7y = -2 + 9$

$\sf \dashrightarrow -7y = 7$

$\sf \dashrightarrow y = \dfrac{7}{-7}$

$\sf \dashrightarrow y = -1$

Now, we can find the value of x by first equation.

$\sf \dashrightarrow 2x - y = -3$

$\sf \dashrightarrow 2x - (-1) = -3$

$\sf \dashrightarrow 2x + 1 = -3$

$\sf \dashrightarrow 2x = -3 - 1$

$\sf \dashrightarrow 2x = -4$

$\sf \dashrightarrow x = \dfrac{-4}{2}$

$\sf \dashrightarrow x = -2$

Hence, the value of x and y are -2 and -1 respectively.