Use Cramers Method to solve 5c 3t = 37 and 2c 6t = 64

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Use Cramers method to solve:

5c + 3t = 37

2c + 6t = 64

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

5c + 3t = 37

a = 5, b = 3, c = 37

Find d, e, f in dx + ey = f

2c + 6t = 64

d = 2, e = 6, f = 64

Step 1, calculate Delta (Δ):

Δ = a * e - b * d

Δ = (5 * 6) - (3 * 2)

Δ = 30 - 6

Δ = 24

Step 2, calculate the numerator for c

Numerator(c) = c * e - b * f

Numerator(c) = (37 * 6) - (3 * 64)

Numerator(c) = 222 - 192

Numerator(c) = 30

Step 3, calculate the numerator for t

Numerator(t) = a * f - c * d

Numerator(t) = (5 * 64) - (37 * 2)

Numerator(t) = 320 - 74

Numerator(t) = 246

Evaluate and solve:

c =

Numerator(c)

Δ

c =

30

24

c = 1.25

You have 2 free calculationss remaining

t =

Numerator(t)

Δ

t =

246

24

t = 10.25

You have 2 free calculationss remaining

What is the Answer?

t = 10.25

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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