How many solutions will this system of equations have? y = 3.5x − 3.5 y = −3.5x + 3.5 (2 points) no solution infinite solutions one solution two solutions 6. (05.01) given the equation 3x − 4y = 8, which equation below would cause a consistent-dependent system? (2 points) 3x + 4y = −8 6x − 8y = 12 9x − 12y = 24 16x + 12y = −10 7. (05.01) a business has $11,080 to spend on new laptops and tablet computers for its salespeople. the laptops cost $515 each. the tablets cost $285 each. the business wants each salesperson to have either a laptop or a tablet. there are 30 salespeople. how many of each type of computer should the business buy? (2 points) 9 laptops and 21 tablets 11 laptops and 19 tablets 19 laptops and 11 tablets 21 laptops and 9 tab

One solution

Step-by-step explanation:

y = 3.5x - 3.5

y = -3.5x + 3.5

Use substitution to solve:

 3.5x - 3.5 = -3.5x + 3.5

+3.5x           +3.5x          

7.0x - 3.5 =             3.5

        +3.5             +3.5

7.0x         =              7.0

÷7.0                      ÷7.0

    x         =              1.0

Since there is a solution for x, then there is one solution

9x - 12y = 24

Step-by-step explanation:

consistent-dependent means they are the same line. This occurs when the given line is multiplied by a constant.

Let the constant be 3, then y = 3(3x - 4y = 8)

                                                 = 9x - 12y = 24

19 laptops and 11 tablets

Step-by-step explanation:

Laptops (x): $515

Tablets (y): $285

EQ1: 515x + 285y = 11,080

EQ2: x + y = 30

Use elimination to solve:

515x + 285y = 11,080 ⇒  ⇒  ⇒ ⇒ 515x + 285y = 11,080

x + y = 30 ⇒ =515(x + y = 30)  ⇒  -515x - 515y = -15,450

                                                                -230y =  4,370

                                                                ÷-230     ÷-230

                                                                       y =  19

x + y = 30

x + 19 = 30

x = 11

the science club has 42 people and the robotics club has 33

step-by-step explanation:

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: