Use Cramers Method to solve x+y=39 and 2x + 3y = 81
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Use Cramers method to solve:
x + y = 39
2x + 3y = 81
Check Format
Equation 1 is in the correct format.
Check 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.
Find a, b, c in ax + by = c
x + y = 39
a = 1, b = 1, c = 39
Find d, e, f in dx + ey = f
2x + 3y = 81
d = 2, e = 3, f = 81
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 3) - (1 * 2)
Δ = 3 - 2
Δ = 1
Step 2, calculate the numerator for x
Numerator(x) = c * e - b * f
Numerator(x) = (39 * 3) - (1 * 81)
Numerator(x) = 117 - 81
Numerator(x) = 36
Step 3, calculate the numerator for y
Numerator(y) = a * f - c * d
Numerator(y) = (1 * 81) - (39 * 2)
Numerator(y) = 81 - 78
Numerator(y) = 3
Evaluate and solve:
x =
Numerator(x)
Δ
x =
36
1
x = 36
You have 2 free calculationss remaining
y =
Numerator(y)
Δ
y =
3
1
y = 3
You have 2 free calculationss remaining
What is the Answer?
y = 3
How does the Simultaneous Equations Calculator work?
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
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2 equations 2 unknowns This calculator has 2 inputs.
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