KS1 (Age 5-7)KS2 (Age 7-11)11 Plus (Age 7-11)KS3 (Age 11-14)GCSE (Age 14-17)PSHE A.I.ESL Spanish Specialist Games

Need help with Simultaneous Equations (F)? Ask our AI Tutor!

AI Tutor - Lucy

Connecting with Tutor...

Please wait while we establish connection

Hi! I'm Lucy, your AI tutor. How can I help you with Simultaneous Equations (F) today?

now

If you can then you already have question 4 completed!

Simultaneous Equations (F)

Solve GCSE simultaneous equations: use elimination and substitution, handle fractions and negatives, and interpret real problems where two unknowns must satisfy both equations.

Explore the Topic →

(quiz starts below)

Fascinating Fact:

At a market stall, 2x + 3y = 17 and x + 3y = 14. Subtract to get x = 3. Then put x = 3 into x + 3y = 14 to find 3y = 11, so y = 11 ÷ 3.

In GCSE Maths, simultaneous equations model real situations with two unknowns. You’ll solve linear pairs by elimination or substitution, interpret solutions as line intersections, and check results by substituting back.

Key Terms

Simultaneous equations: Two or more equations that share the same unknowns and must be true at the same time.
Elimination: Making coefficients match so one variable cancels when you add or subtract the equations.
Substitution: Rearranging one equation to express a variable, then replacing it in the other equation.

Frequently Asked Questions (Click to see answers)

How do I solve simultaneous equations by elimination?

Match coefficients, then add or subtract to remove one variable. Solve the remaining equation, substitute back to find the other value, and check both in the originals.

How do I use substitution for simultaneous equations?

Rearrange one equation for a variable (e.g., x = ...). Substitute into the other to get one equation in one unknown. Solve, then substitute back and check both equations.

How do I check my answers to simultaneous equations?

Put your x and y into both equations. If both left-hand sides equal their right-hand sides, the solution is correct. If not, rework your steps carefully.