x + y = 23000
0.08x + 0.04y = 1560
Equation 1 is in the correct format.
Equation 2 is in the correct format.
Set up standards equations
Standard equation 1 = ax + by = c and Standard equation 2 = dx + ey = f.
x + y = 23000
a = 1, b = 1, c = 23000
0.08x + 0.04y = 1560
d = 0.08, e = 0.04, f = 1560
Δ = a * e - b * d
Δ = (1 * 0.04) - (1 * 0.08)
Δ = 0.04 - 0.08
Δ = -0.04
Numerator(x) = c * e - b * f
Numerator(x) = (23000 * 0.04) - (1 * 1560)
Numerator(x) = 920 - 1560
Numerator(x) = -640
Numerator(y) = a * f - c * d
Numerator(y) = (1 * 1560) - (23000 * 0.08)
Numerator(y) = 1560 - 1840
Numerator(y) = -280
x = | Numerator(x) | |
Δ |
x = | -640 | |
-0.04 |
x = 16000
y = | Numerator(y) | |
Δ |
y = | -280 | |
-0.04 |
y = 7000
Free Simultaneous Equations Calculator - Solves a system of simultaneous equations with 2 unknowns using the following 3 methods:
1) Substitution Method (Direct Substitution)
2) Elimination Method
3) Cramers Method or Cramers Rule Pick any 3 of the methods to solve the systems of equations 2 equations 2 unknowns
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