<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
8x + 5y = 18 ------- eqn 1
6x + y = -2 -------- eqn 2
Multiply eqn 2 by -5
-30x -5y = 10 ----- eqn 3
Add eqn 1 and eqn 3 so that y terms gets eliminated
8x + 5y = 18
-30x -5y = 10
( + ) --------------
-22x = 28
Divide both sides by -22
Substitute the x value in eqn 1
side length of square =4
side length of cube=3
hence the correct statement is,
the side length of the cube is less than the side length of the square
Answer:
>
Step-by-step explanation:
Answer:
x = -10; x = 7
Step-by-step explanation:
|2x + 3| - 6 =11
Add 6 to each side.
|2x + 3| = 17
Apply the absolute rule: If |x| = a, then x = a or x = -a.
(1) 2x + 3 = 17 (2) 2x + 3 = -17
Subtract 3 from each side
2x = 14 2x = -20
Divide each side by 2
x = 7 x = -10
<em>Check:
</em>
(1) |2(7) + 3| - 6 = 11 (2) |2(-10) + 3| - 6 = 11
|14 + 3| - 6 = 11 |-20 + 3| - 6 = 11
|17| - 6 = 11 |-17| - 6 = 1
1
17 - 6 = 11 17 - 6 = 11
11 = 11 11 = 11
