Question 1 solve the system of equations and choose the correct answer from the list of options. d + e = 15 −d + e = −5 label the ordered pair as (d, e). a (0, 0) b (10, −5) c (5, 10) d (10, 5) question2 a set of equations is given below: equation s: y = x + 9 equation t: y = 2x + 1 which of the following steps can be used to find the solution to the set of equations? a x = 2x + 1 b x + 9 = 2x c x + 1 = 2x + 9 d x + 9 = 2x + 1 question 3 a set of equations is given below: equation c: y = 6x + 9 equation d: y = 6x + 2 which of the following options is true about the solution to the given set of equations? a one solution b no solution c two solutions d infinite solutions question 4 solve the system of equations and choose the correct answer from the list of options. 2x + y = −4 y = 3x + 2 a negative 6 over five comma negative 8 over 5 b negative 8 over 5 comma negative 6 over 5 c negative 5 over 6 comma negative 11 over 5 d negative 11 over 5 comma negative 6 over 5 question 5 a system of equations is given below: y = –2x + 1 6x + 2y = 22 which of the following steps could be used to solve by substitution? a 6x + 2(−2x + 1) = 22 b −2x + 1 = 6x + 2y c 6(−2x + 1) + 2y = 22 d 6(y = −2x + 1)

1.D

2.D

3.B

4.A

5.A

Step-by-step explanation:

1.We are given that two equations

Adding two equations then we get

Substitute e=5 in equation one then we get

Hence, the ordered pair as (10, 5).

Therefore,Option D is true.

2.We are given that two equations

Equation S:

Equatin T:

Using substitution method

Substitute the value of y from equation one in equation second then we get

Therefore, option D is true.

3.We are given that two equations

Equation C :

Equation D

The two equations can be written as

Therefore, system of equations have no solution

Hence, option B is true.

4.We are given that two equations

Using substitution method

Substitute value of y from equation second in equation one

Then we get

Substitute the value of x in equation second then we get

Hence, option A is true.

5.We are given that two equations

Using substitution method

Substitute value of y from equation one in second equation then we get

Hence, option A is true.

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6