Number and algebraCourse skill

Three simultaneous equations - using a graphing calculator

Enter a system into a calculator equation solver and check its solution.

  • Put every equation in the same variable order: , , , then the constant.
  • Open the simultaneous-equation solver and choose three unknowns. Enter each coefficient, including its sign; enter 0 for a missing variable.
  • Read all three solutions and substitute them into every original equation. Give exact values where your calculator supports them.

Example

Enter the coefficients, then check

Use a GDC to solve the simultaneous equations.

Enter , , coefficients and the constant, in that order.
Read the three values from the equation solver.
Check equation 1.Check equation 2.Check equation 3.

Remember
AI uses technology to solve systems of up to three linear equations. These questions have a unique solution. Calculator menu names vary; the coefficient order and substitution check are the same.

Your turn

Question 1

Use a GDC to solve the simultaneous equations. Check your solution by substitution.

Check answer
Enter the coefficients in , , order, then the constants.

Read , and from the equation solver. Substitute them into all three original equations to check that each left side equals its right side.

Question 2

Use a GDC to solve the simultaneous equations. Check your solution by substitution.

Check answer
Enter the coefficients in , , order, then the constants.

Read , and from the equation solver. Substitute them into all three original equations to check that each left side equals its right side.

Question 3

Use a GDC to solve the simultaneous equations. Check your solution by substitution.

Check answer
Enter the coefficients in , , order, then the constants.

Read , and from the equation solver. Substitute them into all three original equations to check that each left side equals its right side.

Question 4

Use a GDC to solve the simultaneous equations. Check your solution by substitution.

Check answer
Enter the coefficients in , , order, then the constants.

Read , and from the equation solver. Substitute them into all three original equations to check that each left side equals its right side.

Question 5

Use a GDC to solve the simultaneous equations. Check your solution by substitution.

Check answer
Enter the coefficients in , , order, then the constants.

Read , and from the equation solver. Substitute them into all three original equations to check that each left side equals its right side.

← All Number and algebra cardsReport a mistake