Question

Examine this system of equations with the procedure for which statements accurately describe this system and

using the linear combination method.

its solution? Check all that apply.

4x - 9y = 54

16x-36y=208

The linear combination method produced a true

statement

The solution to the system is (0, -8).

The lines are parallel.

There is one solution to the system.

There is no solution to the system.

Answer 1

c.The lines are parallel.

E.There is no solution to the system

Explanation:

−16x + 36y = −216

16x − 36y = 208

0 + 0 = −8

 0 = −8

Answer 2

There is no solution to the system

Explanation:

To solve using linear combination method you have to first arrange the equation:

4x - 9y = 54 (1)

16x-36y=208 (2)

Secondly you analyze the coefficients and then multiply the equation by a number so that the coefficient are opposite:

Multiplying the first equation by -4 we get equation 3

-16x+36y=-208 (3)

16x-36y=208 (2)

Thirdly we add both equations to get:

Adding equations 2 and 3 gives

0 + 0 = 0

therefore, There is no solution to the system