Graph the system of equations on a graph paper.
{8x + 6y = 48
{2x - 3y = -6

which statements are true about the solution to the system of equations? select each correct answer.

a) the ordered pair that is the solution to the system lies in quadrant ii
b)the x-coordinate of the solution is -3
c) the ordered pair that is the solution to the system lies in quadrant i
d) the y-coordinate of the solution is 3
e) the y-coordinate if the solution is 4
f) the x-coordinate of the solution is 3

Step-by-step explanation:

8x + 6y = 48reduces to 4x + 3y = 24

2x - 3y = -6

4x + 3y = 24

add

6x = 18

x = 18/6

x = 3

2x - 3y = -6

2(3) - 3y = -6

6 - 3y = -6

-3y = -6 - 6

-3y = -12

y = -12/-3

y = 4

solution is : (3,4)

the ordered pair (3,4) lies in quadrant I

the x coordinate of the solution is 3

the y coordinate of the solution is 4

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

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)