Use Cramers Method to solve 2x - y = 16 and x + 3y = 1
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Use Cramers method to solve:
2x - y = 16
x + 3y = 1
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 - y = 16
a = 2, b = -1, c = 16
Find d, e, f in dx + ey = f
x + 3y = 1
d = 1, e = 3, f = 1
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (2 * 3) - (-1 * 1)
Δ = 6 - -1
Δ = 7
Step 2, calculate the numerator for x
Numerator(x) = c * e - b * f
Numerator(x) = (16 * 3) - (-1 * 1)
Numerator(x) = 48 - -1
Numerator(x) = 49
Step 3, calculate the numerator for y
Numerator(y) = a * f - c * d
Numerator(y) = (2 * 1) - (16 * 1)
Numerator(y) = 2 - 16
Numerator(y) = -14
Evaluate and solve:
x =
Numerator(x)
Δ
x =
49
7
x = 7
You have 2 free calculationss remaining
y =
Numerator(y)
Δ
y =
-14
7
y = -2
You have 2 free calculationss remaining
What is the Answer?
y = -2
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
Pick any 3 of the methods to solve the systems of equations
2 equations 2 unknowns This calculator has 2 inputs.
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