What is the x-coordinate of the solution of the following system of equations?

3x + y = 6
x - y = 6

a. -3
b. 0
c. 3

The x-coordinate of of the solution of  system of equations is 3.

Option (c) is correct .

Step-by-step explanation:

As the system of equations are

3x + y = 6

x - y = 6

Now multiply x - y = 6 by 3 and subtrated from 3x + y = 6  .

3x - 3x + y + 3y = 6 - 18

4y = -12

y = -3

Put in the x - y = 6

x - (-3) = 6

x + 3 = 6

x = 6 -3

x = 3

Therefore the x-coordinate of of the solution of  system of equations is 3.

Option (c) is correct .

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

tip $2.90

total $17.40