Use Cramers Method to solve n + d = 36 and 0.05n + 0.1d = 2.40
Crop Image
Use Cramers method to solve:
n + d = 36
0.05n + 0.1d = 2.40
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
n + d = 36
a = 1, b = 1, c = 36
Find d, e, f in dx + ey = f
0.05n + 0.1d = 2.40
d = 0.05, e = 0.1, f = 2.40
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 0.1) - (1 * 0.05)
Δ = 0.1 - 0.05
Δ = 0.05
Step 2, calculate the numerator for n
Numerator(n) = c * e - b * f
Numerator(n) = (36 * 0.1) - (1 * 2.40)
Numerator(n) = 3.6 - 2.4
Numerator(n) = 1.2
Step 3, calculate the numerator for d
Numerator(d) = a * f - c * d
Numerator(d) = (1 * 2.40) - (36 * 0.05)
Numerator(d) = 2.4 - 1.8
Numerator(d) = 0.6
Evaluate and solve:
n =
Numerator(n)
Δ
n =
1.2
0.05
n = 24
You have 2 free calculationss remaining
d =
Numerator(d)
Δ
d =
0.6
0.05
d = 12
You have 2 free calculationss remaining
What is the Answer?
d = 12
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.
What 1 formula is used for the Simultaneous Equations Calculator?