Use Cramers Method to solve w + l = 41 and w - l = 27
Crop Image
Use Cramers method to solve:
w + l = 41
w - l = 27
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
w + l = 41
a = 1, b = 1, c = 41
Find d, e, f in dx + ey = f
w - l = 27
d = 1, e = -1, f = 27
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * -1) - (1 * 1)
Δ = -1 - 1
Δ = -2
Step 2, calculate the numerator for w
Numerator(w) = c * e - b * f
Numerator(w) = (41 * -1) - (1 * 27)
Numerator(w) = -41 - 27
Numerator(w) = -68
Step 3, calculate the numerator for l
Numerator(l) = a * f - c * d
Numerator(l) = (1 * 27) - (41 * 1)
Numerator(l) = 27 - 41
Numerator(l) = -14
Evaluate and solve:
w =
Numerator(w)
Δ
w =
-68
-2
w = 34
You have 2 free calculationss remaining
l =
Numerator(l)
Δ
l =
-14
-2
l = 7
You have 2 free calculationss remaining
What is the Answer?
l = 7
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?