Use Cramers Method to solve 2x - 4y = 6 and x y = 8
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Use Cramers method to solve:
2x - 4y = 6
x + y = 8
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
2x - 4y = 6
a = 2, b = -4, c = 6
Find d, e, f in dx + ey = f
x + y = 8
d = 1, e = 1, f = 8
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (2 * 1) - (-4 * 1)
Δ = 2 - -4
Δ = 6
Step 2, calculate the numerator for x
Numerator(x) = c * e - b * f
Numerator(x) = (6 * 1) - (-4 * 8)
Numerator(x) = 6 - -32
Numerator(x) = 38
Step 3, calculate the numerator for y
Numerator(y) = a * f - c * d
Numerator(y) = (2 * 8) - (6 * 1)
Numerator(y) = 16 - 6
Numerator(y) = 10
Evaluate and solve:
x =
Numerator(x)
Δ
x =
38
6
x = 6.3333333333333
You have 2 free calculationss remaining
y =
Numerator(y)
Δ
y =
10
6
y = 1.6666666666667
You have 2 free calculationss remaining
What is the Answer?
y = 1.6666666666667
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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