To isolate a variable in an equation or inequality, you need to perform inverse operations to both sides. Start by eliminating any constants added or subtracted from the variable, followed by dividing or multiplying to remove coefficients. Ensure to maintain the equality or inequality by performing the same operations on both sides. Finally, simplify the expression to get the variable alone on one side.
To solve a linear equation or inequality, first isolate the variable on one side of the equation or inequality. For an equation, use operations like addition, subtraction, multiplication, or division to simplify until the variable is alone (e.g., (ax + b = c) becomes (x = (c-b)/a)). For an inequality, follow similar steps but remember to reverse the inequality sign if you multiply or divide by a negative number. Finally, express the solution in interval notation or as a graph on a number line, depending on the context.
To isolate the variable in a multi-step inequality, start by simplifying the inequality as needed, such as distributing or combining like terms. Next, use inverse operations to eliminate any coefficients or constants attached to the variable, maintaining the inequality's direction (reversing it if you multiply or divide by a negative number). Finally, continue simplifying until the variable is alone on one side of the inequality. Always check your solution by substituting back into the original inequality.
To isolate the variable ( m ) in the equation ( 15m + 45 = 0 ), you first subtract 45 from both sides to get ( 15m = -45 ). Then, you divide both sides by 15, yielding ( m = -3 ). Thus, the variable ( m ) is now alone on one side of the equation.
Divide both sides of the equation by 15
You can call it a "number." To distinguish it from a variable expression, you can also call it a "constant."
isolate the variable
each of the four regions created on the coordinate plane by the x- and y-axes.
To solve a linear equation or inequality, first isolate the variable on one side of the equation or inequality. For an equation, use operations like addition, subtraction, multiplication, or division to simplify until the variable is alone (e.g., (ax + b = c) becomes (x = (c-b)/a)). For an inequality, follow similar steps but remember to reverse the inequality sign if you multiply or divide by a negative number. Finally, express the solution in interval notation or as a graph on a number line, depending on the context.
It is to make the variable the subject of the equation.
A) Divide both sides of the equation by 4.
As it appears, there is no equation but an algebraic term.
To isolate the variable ( m ) in the equation ( 15m + 45 = 0 ), you first subtract 45 from both sides to get ( 15m = -45 ). Then, you divide both sides by 15, yielding ( m = -3 ). Thus, the variable ( m ) is now alone on one side of the equation.
When you solve a one-variable equation, your goal is to isolate the variable.To isolate the variable means to make it be alone on one side of the equals sign.In the equation shown here, you can isolate the variable by subtracting 9 from both sides of the equation and simplifying
Divide both sides of the equation by 15
You can call it a "number." To distinguish it from a variable expression, you can also call it a "constant."
No. In the variable x, alone, it is linear. In the variable y, alone, it is linear. But taken together, in x and y, you have a term which contains xy - that is, a term in which the powers of the unknowns add to 2. So the equation is not linear.
Multiply both sides of the equation by 1.5