Solving Linear Equations of the Form ax + b = c

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What method is suggested to make the coefficients of x or y the same in two equations?

Multiplying one of the equations by a constant

What is the point of intersection of the graphs of two linear relations if y = -2 and x = 1?

(1, -2)

In the TI-Nspire method, how can simultaneous linear equations be solved using a Calculator application?

Use Algebra > Solve System of Linear Equations

How can the solution to the simultaneous equations 2x - y = 4 and x + 2y = -3 be found using the Calculator application in TI-Nspire?

Enter the equations as shown Signup and view all the answers

What is the solution to the simultaneous equations 2x - y = 4 and x + 2y = -3 using the Calculator application in TI-Nspire?

x = 1 and y = -2 Signup and view all the answers

In the Graphs application method, how can simultaneous linear equations be solved?

Entering the equations directly in the form a · x + b · y = c Signup and view all the answers

What is the process of solving a linear equation?

Finding the value of the variable that makes the equation true. Signup and view all the answers

How many solutions can a linear equation have?

One, none, or infinitely many solutions. Signup and view all the answers

What makes an equation linear?

It is related to the equation of a straight line. Signup and view all the answers

What is the solution to 2x + 3 = 2x + 4?

No solution exists. Signup and view all the answers

What is the solution to 2(x + 3) = 2x + 6?

Infinitely many solutions. Signup and view all the answers

How many solutions does the equation x^2 = 16 have?

Two solutions: x = 4 or x = -4. Signup and view all the answers

How can you check if a solution to a linear equation is correct?

By substituting the value back into both sides of the original equation to ensure that the left-hand side (LHS) equals the right-hand side (RHS). Signup and view all the answers

What are the two methods to form an equivalent equation of a given equation?

By adding or subtracting the same number on both sides of the equation, or by multiplying or dividing both sides of the equation by the same non-zero number. Signup and view all the answers

In linear equations, what must be done to group all terms containing the variable on one side of the equation?

The terms containing the variable must be grouped on one side, and the remaining terms on the other side. Signup and view all the answers

What is the first step to solve the linear equation 4x + 3 = 3x - 5?

Subtract 3x from both sides of the equation. Signup and view all the answers

What is the solution to the linear equation 4x + 3 = 3x - 5?

x = -8 Signup and view all the answers

Why is it important to form equivalent equations when solving linear equations?

By forming equivalent equations, it helps in simplifying the process of solving linear equations. Signup and view all the answers

Solving Linear Equations of the Form ax + b = c

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