Answer: 21y-3
Step-by-step explanation:
3(7y-1)=
3(7y)-3(1)=
21y-3
Answer:
x = 47 degrees
y = 86 degrees
Step-by-step explanation:
X and 47 are both congruent angles making x = 47. The angles of a triangle all add up to equal 180 degrees meaning you need to do 180-47-47 to figure out the missing angle of y. 180-47-47=86 aka angle y.
86+47+47=180
Answer:
Given the inequality: 
The related equation for the given equation is:
y = 3x -3 ......[1]
x -intercepts: The point where the line crosses the x-axis
Substitute the value of y= 0 in [1] to solve for x;
0 = 3x -3
Add both sides 3 we get;
0 + 3 = 3x -3 +3
Simplify:
3 = 3x
Divide both sides by 3 we get;

Simplify:
1 = x
or x = 1
x-intercept is (1 , 0)
y-intercepts: The point where the line crosses the y-axis
Substitute the value of x= 0 in [1] to solve for y;
y =3(0) -3 = 0-3
Simplify:
y = -3
y-intercept = (0 , -3)
When your inequality symbol:
- Greater than (>) or Greater than or equal to (
), then the solution region is above the boundary line.
- Less than (<) or Less than or equal to(
), then your solution region is below the boundary line.
Also, when the symbol is:
"> , < , then we draw a dashed line,
"
", then we draw a solid line.
Since, the given inequality i.e
symbol is
, draw a solid line and shade above the line:
As you can see the given inequality graph below in the attachment
Answer:
The man is 27 years old.
Step-by-step explanation:
You can create a system of equations.
Let x = the age of the man
Let y = the age of his son
You can create the following equations based on what was given in the problem:
1. x = y + 18
2. (x - 3) = 4(y - 3)
You can simplify the second equation:
x - 3 = 4y - 12
x = 4y - 9
Then, solve the system of equations:
x = y + 18
-
x = 4y - 9
____________
0 = -3x + 27
The son's age is 9, therefore the father is 27 years old.