Use Cramers Method to solve m + t = 38 and 5m + 2t = 100

Use Cramers Method to solve m + t = 38 and 5m + 2t = 100

Use Cramers method to solve:

m + t = 38

5m + 2t = 100

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

m + t = 38

a = 1, b = 1, c = 38

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

5m + 2t = 100

d = 5, e = 2, f = 100

Step 1, calculate Delta (Δ):

Δ = a * e - b * d

Δ = (1 * 2) - (1 * 5)

Δ = 2 - 5

Δ = -3

Step 2, calculate the numerator for m

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

Numerator(m) = (38 * 2) - (1 * 100)

Numerator(m) = 76 - 100

Numerator(m) = -24

Step 3, calculate the numerator for t

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

Numerator(t) = (1 * 100) - (38 * 5)

Numerator(t) = 100 - 190

Numerator(t) = -90

Evaluate and solve:

m  =	Numerator(m)
	Δ

m  =	-24
	-3

m = 8

You have 1 free calculations remaining

t  =	Numerator(t)
	Δ

t  =	-90
	-3

t = 30

You have used up your free calculations

What is the Answer?

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
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cramers rulean explicit formula for the solution of a system of linear equations with as many equations as unknownseliminateto remove, to get rid of or put an end toequationa statement declaring two mathematical expressions are equalsimultaneous equations two or more algebraic equations that share variablessubstituteto put in the place of another. To replace one value with anotherunknowna number or value we do not knowvariableAlphabetic character representing a number

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