Math questions.20 points solve for x show work if possible.

1.  x=9

2  x=9

3  x=10

4   x=7

Step-by-step explanation:

1. 15+5x + 14x-6 = 180   supplementary angles

combine like terms

9 + 19x = 180

subtract 9 from each side

19 x = 171

divide by 19

19x/19 = 171 /19

x = 9

2. 13x-7 = 11x+11   corresponding angles are equal

subtract 11x from each side

2x -7 = 11

add 7 to each side

2x = 18

divide by 2

x =9

3.  x+ 100 = 90  alternate interior angles are equal

subtract 100 from each side

x = -10

4.  17x+1 = 120   alternate exterior angles are equal

subtract 1 from each side

17x = 119

divide by 17 on each side

x = 119/17

x=7

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!

idk wbu

step-by-step explanation: