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.

There is no solution to the system

Step-by-step 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

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!