Mathematics
Grade-8
Easy
Question
Solve the following using the substitution method and find the value of x and y:
-4y = -4
-5x = 15
- -3, -1
- 3, -1
- -3, 1
- 1, 2
Hint:
The substitution method is the algebraic method to solve simultaneous linear equations. , in this method, the value of one variable from one equation is substituted in the other equation. In this way, a pair of the linear equation gets transformed into one linear equation with only one variable, which can then easily be solved.
The correct answer is: -3, 1
In this method, the elimination of the variable can be performed by substituting the value of another variable in an equation. Hence, this method is called the elimination by substitution method.
-4y = -4 and -5x = 15
Given:
-4y = -4 … (1)
-5x = 15 …(2)
The equation (1) can be written as y = 1 and equation 2 can be written as x = -3
Hence, the solution for the system of linear equations is:
x = -3 and y= 1
Related Questions to study
Mathematics
Solve the following using the substitution method and find the value of x and y:
x – 3y = 1
-3x – y = -13
Solve the following using the substitution method and find the value of x and y:
x – 3y = 1
-3x – y = -13
MathematicsGrade-8
Mathematics
Solve the following using the substitution method and find the value of x and y:
-x + 2y = 9
-5x – 4y = -11
Solve the following using the substitution method and find the value of x and y:
-x + 2y = 9
-5x – 4y = -11
MathematicsGrade-8
Mathematics
Solve the following using the substitution method and find the value of x and y:
4x – 4y = 32
4x – 2y = 14
Solve the following using the substitution method and find the value of x and y:
4x – 4y = 32
4x – 2y = 14
MathematicsGrade-8
Mathematics
Solve the following using the substitution method and find the value of x and y:
-5x + 3y = -22
-5x + y = -24
Solve the following using the substitution method and find the value of x and y:
-5x + 3y = -22
-5x + y = -24
MathematicsGrade-8
Mathematics
Solve the following using the substitution method and find the value of x and y:
5x = 10
-x + y = -2
Solve the following using the substitution method and find the value of x and y:
5x = 10
-x + y = -2
MathematicsGrade-8
Mathematics
Solve the following using the substitution method and find the value of x and y:
5x – 2y = -4
-5x + 4y = 8
Solve the following using the substitution method and find the value of x and y:
5x – 2y = -4
-5x + 4y = 8
MathematicsGrade-8
Mathematics
Solve the following using the substitution method and find the value of x and y:
-x + 2y = 3
3y = -3
Solve the following using the substitution method and find the value of x and y:
-x + 2y = 3
3y = -3
MathematicsGrade-8
Mathematics
Solve the following using the substitution method and find the value of x and y:
-2x - 2y = -14
-5x – y = -23
Solve the following using the substitution method and find the value of x and y:
-2x - 2y = -14
-5x – y = -23
MathematicsGrade-8
Mathematics
Solve the following using the substitution method and find the value of x and y:
- x – 4y =16
- 5x - 5y = 5
Solve the following using the substitution method and find the value of x and y:
- x – 4y =16
- 5x - 5y = 5
MathematicsGrade-8
Mathematics
Solve the following using the substitution method and find the value of x and y:
-5x = 25
3x + 5y = -35
Solve the following using the substitution method and find the value of x and y:
-5x = 25
3x + 5y = -35
MathematicsGrade-8
Mathematics
Solve the following using the substitution method and find the value of x and y:
5x + y = -10
2x + 5y = 19
Solve the following using the substitution method and find the value of x and y:
5x + y = -10
2x + 5y = 19
MathematicsGrade-8
Mathematics
What is the value of m when 5m = 100?
What is the value of m when 5m = 100?
MathematicsGrade-8
Mathematics
What is the value of x in the equation ax + b = 0?
What is the value of x in the equation ax + b = 0?
MathematicsGrade-8
Mathematics
How many solutions to the given system
y = 5 x + 4 and y = 4 + 5 x
How many solutions to the given system
y = 5 x + 4 and y = 4 + 5 x
MathematicsGrade-8
Mathematics
If slops are different then what is the solution of system linear equations?
If slops are different then what is the solution of system linear equations?
MathematicsGrade-8