To determine if ( x^3 ) is a solution of the equation ( 3x - 54x = 0 ), we first simplify the equation. The left side simplifies to ( -51x = 0 ), which implies ( x = 0 ) is the only solution. Since ( x^3 ) is not equal to ( 0 ) for any ( x ) other than ( 0 ), ( x^3 ) is not a solution to the equation.
The equation ( x - 3 = 0 ) can be solved by isolating ( x ). By adding 3 to both sides of the equation, we find that ( x = 3 ). Thus, the solution to the equation is ( x = 3 ).
An algebraic equation has (at least one) variable, usually called x. To solve the equation means to figure out the value of x. For example, in the equation x + 4 = 7 the solution is x = 3, because 3 + 4 = 7.
A one solution equation is an equation that has exactly one unique solution. For example, the equation (2x + 3 = 7) can be solved by isolating (x): subtract 3 from both sides to get (2x = 4), and then divide by 2 to find (x = 2). This equation has only one solution, which is (x = 2).
To determine if (2, -3) is a solution of the equation ( x + 5y = 4 ), we substitute ( x = 2 ) and ( y = -3 ) into the equation. This gives us ( 2 + 5(-3) = 2 - 15 = -13 ), which does not equal 4. Therefore, (2, -3) is not a solution of the equation.
The equation x = 3 has a solution of x = 3. This is because when you substitute x = 3 into the equation x = 3, it satisfies the equation and makes it true. Therefore, x = 3 is the equation with the solution x = 3.
A solution to an question makes the equation true. For example a solution to the equation 3x = x + 6 is x = 3, since 3(3) = 3+6.
To determine if ( x^3 ) is a solution of the equation ( 3x - 54x = 0 ), we first simplify the equation. The left side simplifies to ( -51x = 0 ), which implies ( x = 0 ) is the only solution. Since ( x^3 ) is not equal to ( 0 ) for any ( x ) other than ( 0 ), ( x^3 ) is not a solution to the equation.
There can be no solution to an algebra equation because of limitations of the domain. For example,x+3 = 2 has no solution if the domain for x is the set of positive integers,x*3 = 2 has no solution if the domain for x is the set of whole numbers,x^3 = 2 has no solution if the domain for x is the set of rational numbers,x^2 = -2 has no solution if the domain for x is the set of real numbers.Alternatively, the equation has no solution if it can be reduced to a false statement. For example,x + 2 = x + 3 can be simplified to 2 = 3 which is false and so there is no solution.
The equation ( x - 3 = 0 ) can be solved by isolating ( x ). By adding 3 to both sides of the equation, we find that ( x = 3 ). Thus, the solution to the equation is ( x = 3 ).
An algebraic equation has (at least one) variable, usually called x. To solve the equation means to figure out the value of x. For example, in the equation x + 4 = 7 the solution is x = 3, because 3 + 4 = 7.
A one solution equation is an equation that has exactly one unique solution. For example, the equation (2x + 3 = 7) can be solved by isolating (x): subtract 3 from both sides to get (2x = 4), and then divide by 2 to find (x = 2). This equation has only one solution, which is (x = 2).
An equation with the solution set 1 and 3 can be written in factored form as (x-1)(x-3) = 0. When expanded, this equation becomes x^2 - 4x + 3 = 0. Therefore, the equation x^2 - 4x + 3 = 0 has the solution set 1 and 3.
To determine if (2, -3) is a solution of the equation ( x + 5y = 4 ), we substitute ( x = 2 ) and ( y = -3 ) into the equation. This gives us ( 2 + 5(-3) = 2 - 15 = -13 ), which does not equal 4. Therefore, (2, -3) is not a solution of the equation.
An equation that has no solution is called an equation that has no solution.
y - x - 3 is an expression, not an equation nor an inequality. It cannot, therefore, have a solution.
The answer to a problem or an equation is called a "solution." In mathematics, a solution represents the value or set of values that satisfy the given equation or problem. For example, in the equation (x + 2 = 5), the solution is (x = 3).