Question

Solve the system of linear equations by elimination -2x-5y=9 3x+11y=4

Answer 1

answer is = - 4 / 3 once try and see

Answer 2

Answer:

$x=-17$ and $y=5$

Step-by-step explanation:

• Given equations:

$-2x-5y=9$ .... (1)

$3x+11y=4$ .... (2)

• On multiplying equation (1) by 3, we get

$3(-2x-5y=9)$

$\Rightarrow -6x-15y=27$ .... (3)

• On multiplying equation (2) by 2, we get

$2(3x+11y-4)$

$\Rightarrow 6x+22y=8$ ... (4)

• On adding equation 3 and 4, we get

$-6x-15y+6x+22y=27+8$

$\Rightarrow 7y=35$

$\Rightarrow y=5$

• On substituting the the value of $y$ in equation $2$, we get

$3x+11(5})=4$

$\Rightarrow 3x=4-55$

$\Rightarrow 3x=-51$

$\Rightarrow x=-17$

Hence, $x=-17$ and $y=5$.