How to solve y= -5x-8, y=3x-24

x=2 and y=−18

Step-by-step explanation:

Let's solve the system by substitution.

y=−5x−8;y=3x−24

Step: Solve y=−5x−8 for y:

y=−5x−8

Step: Substitute−5x−8 for y in y=3x−24:

y=3x−24

−5x−8=3x−24

−5x−8+−3x=3x−24+−3x(Add -3x to both sides)

−8x−8=−24

−8x−8+8=−24+8(Add 8 to both sides)

−8x=−16

−8x/−8=−16/−8

(Divide both sides by -8)

x=2

Step: Substitute 2 for x in y=−5x−8:

y=−5x−8

y=(−5)(2)−8

y=−18 (Simplify both sides of the equation)

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)