Step-by-step explanation:
multiply 5x+2y=19 by 3 youll get 15x+6y=57
eliminate y
7x-6y=9
<u>15x+6y=57</u><u> </u> +
22x=66
x=3
substitute x to 5x+2y=19
15+2y=19
2y=4
y=2
Answer:
An algebraic expression for <em>Sum of a and 5 divided by 8</em> is 
Step-by-step explanation:
We need to express the given statement as an algebraic expression.
Sum of a and 5 divided by 8
Basically, we are given the expression in English sentence and we have to write algebraic expression.
It can be done in two steps:
Sum of a and 5 = We know that sum is denoted by + sign. So, we get (a+5)
Sum of a and 5 divided by 8 = 
So, An algebraic expression for <em>Sum of a and 5 divided by 8</em> is 
Answer:
12<14
x<12
14>12
14>x
Step-by-step explanation:
I dont know if it is correct but I think it is that way try
We know for the problem that the performer earned $120 at a performance where 8 people attend. We also know that he u<span>ses 43% of the money earned to pay the costs involved in putting on each performance, so we need to find the 43% of $120. To do that, we are going to divide 43% by 100%, and then multiply it by $120:
</span>

Now we know that the performer uses $51.6 of $120 to pay the costs involved in putting on each performance. The only thing left to find his profits is subtract $51.6 from $120:

We can conclude that the performer makes a profit of $68.4 when 8 people attend his performance.
Answer:
Step-by-step explanation:
A hole is an input value that makes both numerator and denominator equal to zero.
<u>Let's factorize the numerator and denominator:</u>
- 3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
- x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)
<u>We have same factor of x + 6:</u>
- x + 6 = 0
- x = - 6 is a hole