Maths-
General
Easy
Question
The sum of 
and 
can be written in the form 
, where a, b, and c are constants. What is the value of a + b + c ?
Hint:
We solve this problem by doing some algebraic manipulations and comparing the coefficients of two equations.
The correct answer is: The value of a + b + c is 32
Step 1 of 3:
Given two equations are and
Now, sum of the above two equations are
Step 2 of 3:
a=1, b = 8 and c = 23.
Step 3 of 3:
Final Answer:
The value of a + b + c is 32.
Step 2 of 3:
a=1, b = 8 and c = 23.
Step 3 of 3:
Final Answer:
The value of a + b + c is 32.
Related Questions to study
Maths-
Solve each inequality and graph the solution:
2(7x-2)>9x+6
Solve each inequality and graph the solution:
2(7x-2)>9x+6
Maths-General
Maths-
How does a graph of system of equations with one solution differ from the graph of a system of equations with infinitely many solutions or no solution.
How does a graph of system of equations with one solution differ from the graph of a system of equations with infinitely many solutions or no solution.
Maths-General
Maths-
The equation above models the number of members, m , of a gym t years after the gym opens. Of the following, which equation models the number of members of the gym q quarter years after the gym opens?
The equation above models the number of members, m , of a gym t years after the gym opens. Of the following, which equation models the number of members of the gym q quarter years after the gym opens?
Maths-General
Maths-
Solve each inequality and graph the solution:
2x+5<3x+4
Solve each inequality and graph the solution:
2x+5<3x+4
Maths-General
Maths-
Solve each inequality and graph the solution :
2(3x-1)<16
Solve each inequality and graph the solution :
2(3x-1)<16
Maths-General
Maths-
What solution do you obtain for the system of equations by graphing ? What is the exact solution ?
Y= 5X-4
Y= -6X+14
What solution do you obtain for the system of equations by graphing ? What is the exact solution ?
Y= 5X-4
Y= -6X+14
Maths-General
Maths-
Solve each inequality and graph the solution :
-2(1-3x)>16
Solve each inequality and graph the solution :
-2(1-3x)>16
Maths-General
Maths-
What is the solution of the system of equations ?
Y= 2x-3
Y=-5x+6
What is the solution of the system of equations ?
Y= 2x-3
Y=-5x+6
Maths-General
Maths-
Solve each inequality and graph the solution :
2(1-3x)<20
Solve each inequality and graph the solution :
2(1-3x)<20
Maths-General
Maths-
Monisha and Holly have 14 more days to finish reading the same novel for class. Monisha plans to read 9 pages each day. While holly plans to read 20 pages each day . Assuming holly and monisha both maintain their reading plan. When will holly catch up with Monisha ?Who will finish reading the novel first ?
Monisha and Holly have 14 more days to finish reading the same novel for class. Monisha plans to read 9 pages each day. While holly plans to read 20 pages each day . Assuming holly and monisha both maintain their reading plan. When will holly catch up with Monisha ?Who will finish reading the novel first ?
Maths-General
Maths-
Use a graph to solve each system of equations
3X+2Y=9
3-X= 2y/3
Use a graph to solve each system of equations
3X+2Y=9
3-X= 2y/3
Maths-General
Maths-
Use a graph to solve each system of equations
Y= 0.5X+7
4X-8Y=12
Use a graph to solve each system of equations
Y= 0.5X+7
4X-8Y=12
Maths-General
Maths-
What is the solution of each system of equations ?Use a graph to explain your answers.
Y-2X=6
-4x+2Y=8
What is the solution of each system of equations ?Use a graph to explain your answers.
Y-2X=6
-4x+2Y=8
Maths-General
Maths-
What is the solution of each system of equations ?Use a graph to explain your answers.
15x+5y= 25
Y= 5-3x
What is the solution of each system of equations ?Use a graph to explain your answers.
15x+5y= 25
Y= 5-3x
Maths-General
Maths-
Use a graph to solve these system of equations :
Y=2X+10
Y= -0.5X+1
Use a graph to solve these system of equations :
Y=2X+10
Y= -0.5X+1
Maths-General
