Answer:
-8x + 146
Step-by-step explanation:
Step 1: Write out expression
3(58 - 6) - 2(4x + 5)
Step 2: Parenthesis
3(52) - 2(4x + 5)
Step 3: Multiply
156 - 2(4x + 5)
Step 4: Distribute
156 - 8x - 10
Step 5: Combine like terms (constants)
-8x + 146
The example for an inconsistent system of equations:
x + 2 y = 10 and x + 2 y = 20. If we try to solve it algebraically:
x = 10 - 2 y; 10 - 2 y + 2 y = 20; 10 = 20 ( not true ). We will with something that is not true. Graph of those equations shows 2 parallel lines. Therefore the system is inconsistent.
The system is dependent when we have equivalent equations. For example:
2 x + y = 5 and 4 x + 2 y = 10. If we try to solve this system, we will end up with: 0 = 0 ( true ). The graph of this system shows the same line. This system is dependent.
Finally, if we have just one solution for the system of equations then the system is independent. For example: x + y = 5 and - x + 2 y = 10. When we add those equations: 3 y = 15; y = 15 : 3; y = 5; x + 5 = 5; x = 0. So we have just one solution ( x , y ) = ( 0, 5 ). The system of equations is independent.
Answer:
Step-by-step explanation:
Given
Required
Determine the equation in slope intercept form
First, we calculate the slope of the line:
This gives:
Th equation is then calculated using:
This gives:
Open bracket
Make y the subject
