Question

What appears to be the solution to the system of equations shown in the graph below?

Answer 1

Given:

The system of equation is,

$3x-4y = -2$ -------- (1)

$-6x+5y = 7$ -------- (2)

To find the solution.

To solve the system of equation,

From (1) we get, $3x = -2+4y$

Putting this value into (2) we get,

$-6x+5y = 7$

or, $-2(3x)+5y = 7$

or, $-2(4y-2)+5y = 7$

or, $-8y+4+5y = 7$

or, $-3y = 7-4$

or, $-3y = 3$

or, $y = -1$

From (1) we get,

$3x = -2+4(-1)$

or, $3x = -6$

or, $x = -2$

Hence,

The solution is $x= -2$ and $y = -1$