Gr 10 Math Ch 2: Solving Simultanious Equations

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What is the primary requirement for solving simultaneous equations?

Two independent equations (correct)

One equation with two variables

A graphical representation of the equations

Two variables with the same coefficient

When using substitution to solve simultaneous equations, what is the first step?

Subtract one equation from another

Plot the equations on a graph

Eliminate one variable by adding equations

Express one variable in terms of the other (correct)

In the elimination method, what is done after making the coefficients of one variable the same?

Multiply both equations by zero

Subtract the equations to eliminate that variable (correct)

Add the equations to get a single variable equation

Graph both equations

What does solving simultaneous equations graphically reveal?

The coordinates of the intersection point of the graphs Signup and view all the answers

Which method simplifies the number of equations and variables in simultaneous equations?

Substitution method Signup and view all the answers

What is necessary for each of the variables in a system of simultaneous equations?

Independent equations are required for each variable Signup and view all the answers

What occurs after substituting one variable into the second equation when solving by substitution?

You reduce to one equation with one unknown variable. Signup and view all the answers

Which of the following accurately describes the goal of the elimination method?

To equalize the coefficients without altering the equations' balance. Signup and view all the answers

When solving simultaneous equations graphically, what represents the solution?

The point where the two graphs intersect. Signup and view all the answers

In solving for multiple unknown variables, what is required for each variable?

An independent equation for each variable. Signup and view all the answers

What is the result of using the substitution method correctly?

One variable expressed in terms of another. Signup and view all the answers

What must be done after solving the resulting equation in the elimination method?

Substitute the value in both original equations. Signup and view all the answers

What is true about simultaneous equations concerning the number of equations and unknown variables?

The number of independent equations must equal the number of unknown variables. Signup and view all the answers

When applying the substitution method, which sequence correctly follows the first step?

Express one variable in terms of the other before substituting. Signup and view all the answers

What is the key process that distinguishes the elimination method from the substitution method?

Elimination removes one variable by making coefficients the same. Signup and view all the answers

In graphical solutions of simultaneous equations, what does the intersection point represent?

The solution to both equations simultaneously in terms of their variables. Signup and view all the answers

What is a common misconception about the necessity of equations when solving for multiple unknown variables?

Each additional variable requires at least one independent equation. Signup and view all the answers

Which statement regarding the graphical method for solving simultaneous equations is incorrect?

The graphical method is solely based on calculating the slope of the equations. Signup and view all the answers