What is the solution to this system of equations?
3x + y = 17
x + 2y = 49

y=26, x=-3

Step-by-step explanation:

3x+y=17

3x+y-y=17-y

3x=17-y

Divide both sides by 3

Simplify

\frac{17-y}{3}+2y=49

\frac{17-y}{3}\cdot \:3+2y\cdot \:3=49\cdot \:3

17-y+6y=147

17+5y=147

17+5y-17=147-17

5y=130

\frac{5y}{5}=\frac{130}{5}

y=26

x=\frac{17-26}{3}

x=-3

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)

ljn

step-by-step explanation: