Question

Use the method of substitution to solve the following system of equations .if the system is dependent , express the solution set in terms of one of the variables .Leave all fractional answers in fraction form .The answer options are only one solution , Inconsistent system , or dependent systemgiven : {x-3y=10 -2x+6y=-19}

Answer 1

inconsistent system

Step-by-step explanation:

x-3y=10 ...equation 1

-2x+6y=-19 ...equation 2

using substitution method:

let's make x the subject of formula in equation 1

x = 10 + 3y

Substitute for x in equation 2

-2(10 + 3y) + 6y = - 19

-20 - 6y + 6y = -19

-20 + 0 = -19

-20 = -19

The left hand side is not equal to right hand side. It is said to be no solution.

When a system has no solution, it is said to be inconsistent.

Hence, the answer is inconsistent system