Use Cramers Method to solve 2b + 3t = 80 and b + t = 34
Crop Image
Use Cramers method to solve:
2b + 3t = 80
b + t = 34
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
2b + 3t = 80
a = 2, b = 3, c = 80
Find d, e, f in dx + ey = f
b + t = 34
d = 1, e = 1, f = 34
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (2 * 1) - (3 * 1)
Δ = 2 - 3
Δ = -1
Step 2, calculate the numerator for b
Numerator(b) = c * e - b * f
Numerator(b) = (80 * 1) - (3 * 34)
Numerator(b) = 80 - 102
Numerator(b) = -22
Step 3, calculate the numerator for t
Numerator(t) = a * f - c * d
Numerator(t) = (2 * 34) - (80 * 1)
Numerator(t) = 68 - 80
Numerator(t) = -12
Evaluate and solve:
b =
Numerator(b)
Δ
b =
-22
-1
b = 22
You have 2 free calculationss remaining
t =
Numerator(t)
Δ
t =
-12
-1
t = 12
You have 2 free calculationss remaining
What is the Answer?
t = 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?