Question

Solve the system of equations below.

-3x + 6y = 9

5x + 7y = -49

Answer 1

1. x= -3+2y

2. y= -7- 5/7x

Answer 2

Answer:

$x=-7$

$y=-2$

Step-by-step explanation:

Given system of equations,

-3x + 6y = 9  ------(1)

5x + 7y = -49 ------(2),

LCM (3, 5) = 15,

5 × equation (1) + 3 × equation (2),

We get,

30y + 21y = 45 - 147

51y = -102

$\implies y=-2$

From equation (1),

$-3x+6(-2)=9$

$-3x-12=9$

$-3x=9+12$

$-3x=21$

$x=-7$