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Simultaneous Equations Explorer
Adjust the coefficients to create any pair of simultaneous equations. Watch the two lines on the graph — the intersection is the solution. See full step-by-step working for both methods.
Working method:

✎ Adjust the equations

Equation 1:
5x +
1y =
11
5x + y = 11
Equation 2:
3x +
−1y =
9
3x − y = 9
Line 1 (blue)
● Intersection
Line 2 (red)
Solution
★ Exam question active! 5x + y = 11  and  3x − y = 9
y coefficients +1 and −1 → Add → 8x = 20 → x = 2.5  →  y = −1.5