Use Cramers Method to solve 2x + y = 35 and 3x + 4y = 65
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Use Cramers method to solve:
2x + y = 35
3x + 4y = 65
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 = 35
a = 2, b = 1, c = 35
Find d, e, f in dx + ey = f
3x + 4y = 65
d = 3, e = 4, f = 65
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (2 * 4) - (1 * 3)
Δ = 8 - 3
Δ = 5
Step 2, calculate the numerator for x
Numerator(x) = c * e - b * f
Numerator(x) = (35 * 4) - (1 * 65)
Numerator(x) = 140 - 65
Numerator(x) = 75
Step 3, calculate the numerator for y
Numerator(y) = a * f - c * d
Numerator(y) = (2 * 65) - (35 * 3)
Numerator(y) = 130 - 105
Numerator(y) = 25
Evaluate and solve:
x =
Numerator(x)
Δ
x =
75
5
x = 15
You have 2 free calculationss remaining
y =
Numerator(y)
Δ
y =
25
5
y = 5
You have 2 free calculationss remaining
What is the Answer?
y = 5
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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