How many solutions does the equation 3x + 6 = -1 - 3 + 4x have?
Solution:
The general form of a linear equation in one variable is Ax + B = 0.
Here A is the coefficient of x, x is the variable, and B is the constant term.
The coefficient and the constant term should be segregated to find the final solution of this linear equation.
Given, the equation is 3x + 6 = -1 - 3 + 4x
3x + 6 = -4 + 4x
Grouping of common terms,
4x - 3x = 6 + 4
x = 10
Therefore, the solution is x = 10.
Example: How many solutions does the equation 3y + 10 = -11 - 3 + 4y have?
Solution:
The general form of a linear equation in one variable is Ax + B = 0.
Here A is the coefficient of x, x is the variable, and B is the constant term.
The coefficient and the constant term should be segregated to find the final solution of this linear equation.
Given, the equation is 3y + 10 = -11 - 3 + 4y
3y + 10 = -14 + 4y
Grouping of common terms,
4y - 3y = 10 + 14
y = 24
Therefore, the solution is y = 24.
How many solutions does the equation 3x + 6 = -1 - 3 + 4x have?
Summary:
The equation 3x + 6= -1 - 3 + 4x has one solution i.e., x = 10.
visual curriculum