Question

7x + 3y = 5\
2x + 5y = -11\
what are the resulting equations?\
\
14x + 6y = 10\
-14x - 35y = 77\
\
14x + 6y = 10\
-14x + 35y = 77\
\
14x + 6y = 10\
-14x - 35y = -77\
\
-14x - 6y = 10\
14x + 35y = -77

Explanation:

Step1: Scale first equation by 2

Multiply $7x+3y=5$ by 2:
$2\times(7x+3y)=2\times5$
$\implies 14x+6y=10$

Step2: Scale second equation by -7

Multiply $2x+5y=-11$ by -7:
$-7\times(2x+5y)=-7\times(-11)$
$\implies -14x-35y=77$

Answer:

14x+6y=10
-14x-35y=77