Answer:
c. 10
Step-by-step explanation:
Eliminate parentheses using the distributive property.
3(b+4) -2(2b+3) = -4 . . . . given
3b +12 -4b -6 = -4 . . . . . parentheses eliminated
-b +6 = -4 . . . . . . . . . . . . collect terms
-b = -10 . . . . . . . . . . . . . . subtract 6
b = 10 . . . . . . . . . . . . . . . . multiply by -1
_____
The rules of equality require that any operation you perform on one side of the equal sign must also be done on the other side. So when we say "subtract 6", we assume you know that means "subtract 6 from both sides of the equation", for example.
Let's actually find the solution of
<span>2x - 6y = 8
-x + 3y = 10
Let's use the addition/subtraction method. Multiply the 2nd equation by 2, obtaining
</span> 2x - 6y = 8
-2x + 6y = 20
--------------------
0 + 0 = 28
Since this can never be true, the system of linear equations
2x - 6y = 8
-x + 3y = 10
has no solution.
Answer:
the bench costs $546
Step-by-step explanation:
subtract the cost of the table from the total
623 - 77 = 546
Sometimes
1. The radical expression
![\sqrt[n]{}](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7B%7D%20)
with even n requires <span>a variable with positive quantity. For example, if you have
![\sqrt[4]{x^3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7Bx%5E3%7D%20)
, then always
.
</span>
2. If you have radical expression
with odd n, ia variable may be arbitrary. For example, for
![\sqrt[7]{x}](https://tex.z-dn.net/?f=%20%5Csqrt%5B7%5D%7Bx%7D%20)
you can consider all real x.
