Answer:
x = 1, y = 2
Step-by-step explanation:
In the elimination method to solve a system of linear equations, one of the two equations is added/subtracted to the other, in order to eliminate one variable from the equation.
In this problem, we have the following two equations:
To solve the system, first we multiply by 2 both sides of the second equation, and we get:
So now the system is
Now we add the two equations, and we get:
So, we get
Now we can substitute this value of y into the eq.(2), and we get:
Answer:
4
Step-by-step explanation:
Two ways to solve this - either divide 140 by 35 (140/35 = 4)
or keep adding 35 until you reach 140: 35+35+35+35 = 140
2)
x^2 - 14x - 32 = x^2 - 16x + 2x - 32 = x(x-16) + 2(x-16) = (x - 16)(x + 2)
<h2>
⇒ x^2 - 14x - 32 = (x - 16)(x + 2)</h2>
---------
3)
2n^2 - 7n - 15 =
= 2n^2 - 10n + 3n - 15 =
= 2n(n - 5) + 3(n - 5) =
= (n - 5)(2n + 3)
<h2>
⇒ 2n^2 - 7n - 15 = (n - 5)(2n + 3)</h2>
---------
4)
<h2>
x^2 - 25 = (x - 5)(x + 5)</h2>
Answer:the possible numbers of minutes she has used her phone in a month is 1044 minutes or more.
Step-by-step explanation:
Let m represent the number of minutes that she has used her phone in a month.
For her phone service, Jessica pays a monthly fee of $18, and she pays an additional $0.06 per minute of use. This means that for x minutes monthly, her total fee would be
0.06x + 18
The least she has been charged in a month is $80.64. This means that
0.06x + 18 ≥ 80.64
0.06x ≥ 80.64 - 18
0.06x ≥ 62.64
x ≥ 62.64/0.06
x ≥ 1044
5n+11=46
5n=35 (subtract 11 from both sides)
n=7 (divide both sides by 5)
