Answer:
{x = 7 , y = -4
Step-by-step explanation:
Solve the following system:
{3 x + 2 y = 13 | (equation 1)
{x + 2 y = -1 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 x + 2 y = 13 | (equation 1)
{0 x+(4 y)/3 = (-16)/3 | (equation 2)
Multiply equation 2 by 3/4:
{3 x + 2 y = 13 | (equation 1)
{0 x+y = -4 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{3 x+0 y = 21 | (equation 1)
{0 x+y = -4 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 7 | (equation 1)
{0 x+y = -4 | (equation 2)
Collect results:
Answer: {x = 7 , y = -4
Answer: 14 inches
Step-by-step explanation:
Given the following :
James wants to cut a floor tile in the shape of a trapezium with the following dimension :
Top base = 12 inches
Bottom base = 16 inches
To obtain the medan, we take the average of the two bases :
(top base + bottom base) / 2
(12 inches + 16 inches) / 2
28 inches / 2
= 14 inches.
6 consecutive even numbers...x, x + 2, x + 4, x + 6, x + 8, x + 10
x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 126
6x + 30 = 126
6x = 126 - 30
6x = 96
x = 96/6
x = 16
x + 2 = 16 + 2 = 18
x + 4 = 16 + 4 = 20
x + 6 = 16 + 6 = 22
x + 8 = 16 + 8 = 24
x + 10 = 16 + 10 = 26
ur numbers are : 16,18,20,22,24,26