Answer:
Solving the inequality we get:
Step-by-step explanation:
We need to solve and graph the inequality
Solving:
Step 1: Multiply 3 with terms inside the bracket
Step 2:Subtracting 51 on both sides
Step 3: Subtract 14x on both sides
Step 4: Divide both sides by 7
Solving the inequality we get:
The graph is attached in the figure below.
Answer:
The solution to the system of linear equations is (1,9).
Step-by-step explanation:
The given system of linear equations
... (1)
.... (2)
Subtract equation (2) from equation (1) to eliminate y.
On combining like terms, we get
Add 8 on both sides.
Divide both sides by 8.
The value of x is 1.
Substitute x=1 in equation (1).
The value of y is 9.
Therefore the solution to the system of linear equations is (1,9).
Answer:
Ivy is 6 years old and Rose is 12 years old.
Step-by-step explanation:
To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.
Ivy's age will be
and Rose's age will be
"Ivy is half as old as her sister":
this will be our <u>fist equation.</u>
"In six years, Ivy will be two-thirds as old as Rose"
in six years Ivy will have years, and Rose will have
years, so for this sentence we have the equation:
this will be our <u>second equation.</u>
Substituting the value of x from the first equation into the second, and solving for y(Rose):
Rose is 12 years old.
and Ivy (using the fist equation):
Ivy is 6 years old.