Use Cramers Method to solve x + y = 18 and 3x - 4y = 5
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Use Cramers method to solve:
x + y = 18
3x - 4y = 5
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 = 18
a = 1, b = 1, c = 18
Find d, e, f in dx + ey = f
3x - 4y = 5
d = 3, e = -4, f = 5
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * -4) - (1 * 3)
Δ = -4 - 3
Δ = -7
Step 2, calculate the numerator for x
Numerator(x) = c * e - b * f
Numerator(x) = (18 * -4) - (1 * 5)
Numerator(x) = -72 - 5
Numerator(x) = -77
Step 3, calculate the numerator for y
Numerator(y) = a * f - c * d
Numerator(y) = (1 * 5) - (18 * 3)
Numerator(y) = 5 - 54
Numerator(y) = -49
Evaluate and solve:
x =
Numerator(x)
Δ
x =
-77
-7
x = 11
You have 2 free calculationss remaining
y =
Numerator(y)
Δ
y =
-49
-7
y = 7
You have 2 free calculationss remaining
What is the Answer?
y = 7
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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