Simultaneous Equations Balancing Demonstration This resource provides animated

Simultaneous Equations – Balancing – Demonstration This resource provides animated demonstrations of the mathematical method. Check animations and delete slides not needed for your class.

The blue and yellow boxes weigh different amounts. How do we find the weight of each box? = 11 kg 5 kg Subtract 2 kg = 9 kg = 2 kg We find the difference , by eliminating a variable.

The blue and yellow boxes weigh different amounts. How do we find the weight of each box? = 17 kg = 7 kg Subtract = 10 kg This hasn’t helped, we still have two variables in the equation.

The blue and yellow boxes weigh different amounts. How do we find the weight of each box? 4 kg We can double this whole relationship before subtracting. Subtract 4 kg 3 kg = 17 kg = 14 kg = 3 kg We must balance coefficients before eliminating one.

The blue and yellow boxes weigh different amounts. How do we find the weight of each box? 2 2 We can triple this whole relationship before subtracting. Subtract 2 5 5 5 = 31 kg = 7 kg = 21 kg = 10 kg We must balance coefficients before eliminating one.

DEMO × 2 Solving Simultaneous Equations by Balancing Coefficients. × 2 subtract How can we check? 2) Decide if you need to add or subtract to eliminate. 3) Substitute to find the value of the second variable.

DEMO × 2 Solving Simultaneous Equations by Balancing Coefficients. × 2 subtract How can we check? 2) Decide if you need to add or subtract to eliminate. 3) Substitute to find the value of the second variable.

DEMO × 2 Solving Simultaneous Equations by Balancing Coefficients. × 2 subtract How can we check? 2) Decide if you need to add or subtract to eliminate. 3) Substitute to find the value of the second variable.

DEMO × 3 Solving Simultaneous Equations by Balancing Coefficients. × 3 subtract How can we check? 2) Decide if you need to add or subtract to eliminate. 3) Substitute to find the value of the second variable.

DEMO × 3 Solving Simultaneous Equations by Balancing Coefficients. × 3 subtract × 2 subtract How can we check? 2) Decide if you need to add or subtract to eliminate. 3) Substitute to find the value of the second variable. YOUR TURN × 2

DEMO × 3 Solving Simultaneous Equations by Balancing Coefficients. × 3 subtract How can we check? 2) Decide if you need to add or subtract to eliminate. 3) Substitute to find the value of the second variable. YOUR TURN × 3

DEMO × 3 Solving Simultaneous Equations by Balancing Coefficients. × 3 subtract × 2 subtract How can we check? 2) Decide if you need to add or subtract to eliminate. 3) Substitute to find the value of the second variable. YOUR TURN × 2

DEMO × 3 Solving Simultaneous Equations by Balancing Coefficients. × 3 subtract × 2 subtract How can we check? 2) Decide if you need to add or subtract to eliminate. 3) Substitute to find the value of the second variable. YOUR TURN × 2

What’s different? × 2 subtract Remember! Subtracting a negative is the same as adding.

DEMO × 3 Solving Simultaneous Equations by Balancing Coefficients. × 3 subtract × 2 subtract How can we check? 2) Decide if you need to add or subtract to eliminate. 3) Substitute to find the value of the second variable. YOUR TURN × 2

DEMO × 3 Solving Simultaneous Equations by Balancing Coefficients. × 3 subtract How can we check? 2) Decide if you need to add or subtract to eliminate. 3) Substitute to find the value of the second variable. YOUR TURN × 3

Add or subtract? × 2 add × 2

DEMO × 2 Solving Simultaneous Equations by Balancing Coefficients. × 2 add How can we check? 2) Decide if you need to add or subtract to eliminate. 3) Substitute to find the value of the second variable.

DEMO × 2 Solving Simultaneous Equations by Balancing Coefficients. × 2 add How can we check? 2) Decide if you need to add or subtract to eliminate. 3) Substitute to find the value of the second variable.

DEMO × 3 Solving Simultaneous Equations by Balancing Coefficients. × 3 add How can we check? 2) Decide if you need to add or subtract to eliminate. 3) Substitute to find the value of the second variable.

DEMO × 3 Solving Simultaneous Equations by Balancing Coefficients. × 3 add × 2 add How can we check? 2) Decide if you need to add or subtract to eliminate. 3) Substitute to find the value of the second variable. YOUR TURN × 2

DEMO × 3 Solving Simultaneous Equations by Balancing Coefficients. × 3 add × 2 add How can we check? 2) Decide if you need to add or subtract to eliminate. 3) Substitute to find the value of the second variable. YOUR TURN × 2

DEMO × 3 Solving Simultaneous Equations by Balancing Coefficients. × 3 add How can we check? 2) Decide if you need to add or subtract to eliminate. 3) Substitute to find the value of the second variable. YOUR TURN × 3

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk