Use Cramers Method to solve x + 2y = 10 and 2x +y = 29
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Use Cramers method to solve:
x + 2y = 10
2x + y = 29
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 + 2y = 10
a = 1, b = 2, c = 10
Find d, e, f in dx + ey = f
2x + y = 29
d = 2, e = 1, f = 29
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 1) - (2 * 2)
Δ = 1 - 4
Δ = -3
Step 2, calculate the numerator for x
Numerator(x) = c * e - b * f
Numerator(x) = (10 * 1) - (2 * 29)
Numerator(x) = 10 - 58
Numerator(x) = -48
Step 3, calculate the numerator for y
Numerator(y) = a * f - c * d
Numerator(y) = (1 * 29) - (10 * 2)
Numerator(y) = 29 - 20
Numerator(y) = 9
Evaluate and solve:
x =
Numerator(x)
Δ
x =
-48
-3
x = 16
You have 2 free calculationss remaining
y =
Numerator(y)
Δ
y =
9
-3
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
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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