(05.02 mc) what is the value of the x variable in the solution to the following system of equations? (5 points) 2x − 3y = 3 5x − 4y = 4 −1 0 x can be any number as there are infinitely many solutions to this system there is no x value as there is no solution to this system

x = 0

Step-by-step explanation:

(1)    2x – 3y = 3

      5x – 4y = 4 - 10x     Add 10x to each side

(2) 15x – 4y = 4

Solve Equation (1) for y

-3y = 3 – 2x         Multiply each side by -1

3y = -3 + 2x      Divide each side by 3

  y = -1 + (2/3)x

Substitute y into Equation (2)

15x - 4[-1 + (2/3)x] = 4      Multiply each side by 3

 45x – 4(-3 + 2x) = 12     Remove parentheses

     45x + 12 + 8x = 12     Subtract 12 from each side

             45x + 8x = 0     Combine like terms

                     53x = 0     Divide each side by 53

                          x = 0

The graph shows that the two lines intersect when x = 0.

3,000,540

step-by-step explanation:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2