Answer:
Step-by-step explanation:
To solve systems of algebraic equations containing two variables, start by moving the variables to different sides of the equation. Then, divide both sides of the equation by one of the variables to solve for that variable. Next, take that number and plug it into the formula to solve for the other variable.
A) Answer: x>2
Step by Step: •-2x-10<-14
•-2x-10(+10)<-14(+10)
•-2x<-4 -divide each side by -2x
•x>2(since you divided by a negative, switch the sign)
b) Answer: x<-7
Step by Step: •x+4/3 < -1
•multiply each side by the denominator (3)
•x+4(-4)<-3(-4) subtract
•x<7
Here are the graphs!!
Answer:
57
Step-by-step explanation:
There are 30 English
There are 28 German
There is one that speaks all 3
30 + 28 - 1 = 57
Answer:
The solution of the system of linear equations is and .
Step-by-step explanation:
Let and expressions of the system of linear equations. Since the number of variables and equations are the same, there is only one solution and we can solve it by algebraic means:
(1)
(2)
From (1):
By applying (1) in (2):
By (1):
The solution of the system of linear equations is and .
If quantity t varies inversely with a quantity r ,
Then mathematically t α 1/r,
Introducing a constant, t = k/r .
When t = 6 then r = 5,
therefore, 6 = k/5
k = 6×5
k = 30 (Constant of variation)
Which means the equation connecting t and r will be t = 30/r
To find the value of t when r = 15, we use the equation of this variation
such that, t = 30/15
t = 2