Ren was trying to solve a system of linear equations. He correctly argued that he could replace one equation by the sum of that equation and a multiple of the other. He stated that this would produce a system that has the same solution as the original system.
To show this, Ren wrote down a system of equations. He then determined which other systems of equations would have the same solution as his original system. Ren's original system is shown
below.
-2x - 5y = -47
4x - 2y = -2
Complete the table below to determine which system(s) of equations has the same solution as the original system shown above. Choose Has the Same Solution or Does Not Have the Same
Solution for each system of equations.
Has the Same Solution Does Not Have the Same Solution
-14x + y = -41
4x - 2y = -2
- 2x - 5y = -47
6x + 3y = 45
-2x - 5y = -47
8x - 5y = -8

i think it is 70

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

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)