Use Cramers Method to solve a + s = 175 and 8a + 5s = 1028
Crop Image
Use Cramers method to solve:
a + s = 175
8a + 5s = 1028
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
a + s = 175
a = 1, b = 1, c = 175
Find d, e, f in dx + ey = f
8a + 5s = 1028
d = 8, e = 5, f = 1028
Step 1, calculate Delta (Δ):
Δ = a * e - b * d
Δ = (1 * 5) - (1 * 8)
Δ = 5 - 8
Δ = -3
Step 2, calculate the numerator for a
Numerator(a) = c * e - b * f
Numerator(a) = (175 * 5) - (1 * 1028)
Numerator(a) = 875 - 1028
Numerator(a) = -153
Step 3, calculate the numerator for s
Numerator(s) = a * f - c * d
Numerator(s) = (1 * 1028) - (175 * 8)
Numerator(s) = 1028 - 1400
Numerator(s) = -372
Evaluate and solve:
a =
Numerator(a)
Δ
a =
-153
-3
a = 51
s =
Numerator(s)
Δ
s =
-372
-3
s = 124
What is the Answer?
s = 124
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?
What 7 concepts are covered in the Simultaneous Equations Calculator?
cramers rule
an explicit formula for the solution of a system of linear equations with as many equations as unknowns
eliminate
to remove, to get rid of or put an end to
equation
a statement declaring two mathematical expressions are equal
simultaneous equations
two or more algebraic equations that share variables
substitute
to put in the place of another. To replace one value with another
unknown
a number or value we do not know
variable
Alphabetic character representing a number
Math is always fascinating! Have you noticed? On the path to discovering the ultimate
mysteries of math, we move forward with small steps.
Many such discoveries of mathematical formulas validate the research efforts of those who
came before us. If you want to inspire yourself and those around you, try making your own
Custom Enamel Badges of achievement for small accomplishments.
These vivid pin badges can be a constant reminder that numbers aren't exactly cold and that
they can always be accompanied by fun and hope.