What is the solution to the system of equations? y = 1/3x - 102x + y = 4a) (-8,6)b) (-6, 16)c) (6,-8)d) (16, -6)

ANSWER

C) (6,-8)

EXPLANATION

The equations are:

and

We substitute the first equation into the second equation to get:

We multiply through by 3 to get:

Group similar terms,

Divide both sides by 7 to get,

Put this value of x into the first equation to get;

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,