Hello!
To solve algebraic equations, we need to use SADMEP. SADMEP acts like PEMDAS and is subtract, addition, division, multiplication, exponents and parentheses. If there are no variables, it is a regular equation, and can be simplified using PEMDAS.
(a) 4 + 2(-1) = 10 + 2 (multiply)
4 + -2 = 10 + 2 (add)
2 = 12
This equation has no solutions because -2 is not equal to 12.
(b) 30 = 10 + -1(6 + 10) (simplify)
30 = 10 + -1(16) (multiply)
30 = 10 + -16 (add)
30 = -6
This equation has no solutions because 30 is not equal to -6.
(c) 8x = 4x + 4x + 10(x - x) (simplify alike terms)
8x = 8x + 10(0) (multiply)
8x = 8x
This equation has an infinite number of solutions because another number substitute into x will result in the same solution on both sides of the equation.
<u>Final answers</u>:
- No solution (-2 ≠ 12)
- No solution (30 ≠ -6)
- Infinite number of solutions (8x = 8x -- resulting in same quotient)
3/4 and 12/16 , they are both equivalent to 6/8. 3/4 is 6/8 divided in 2 and 12/16 id 6/8 multiplies by 2.
X((8x - 1)(9x + 98))
x(72x² + 784x - 9x - 98)
x(72x² + 775x - 98)
x(72x²) + x(775x) - x(98)
72x³ + 775x² - 98x
Answer:
x + 2y = 2
x - 2y = -2
2x = 0
x = 0
0 + 2y = 2
2y = 2
y = 1
(0, 1)
consistent and independent
6!=720
6*5*4*3*2*1=720
Because you have 6 possible choices for first seat, 5 possible choices for the second seat, etc, etc