Solve by the elimination method. also determine whether the system is consistent or inconsistent and whether the equations are dependent or independent.
2x-8y=10
3x-12y=15
circle the answers.

The provided system of equation is consistent and the equations are dependent.

Step-by-step explanation:

Consider the provided system of equations.

......(1)

......(2)

Solve the above equations by elimination method.

Multiply the first equation by 3 and second equation by 2.

_________________

Which is true,

This means that the solution to the system of equation is all real numbers. Therefore, the equation have an infinite number of solutions.

If a system of the equation has one or infinite solution then it is known as a consistent system otherwise it is known as inconsistent.

The above equation has an infinite number of solutions, so the provided equations are consistent.

If a consistent system of the equation has only 1 solution, then it is known as an independent . If a consistent system of the equation has infinitely many solutions, then it is known as a dependent .

As the provided system of the equation has infinitely many solutions, so it is a dependent equation.

Hence, the provided system of equation is consistent and the equations are dependent.

180

step-by-step explanation:

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1