Use Substitution to solve g + r = 1197 and 2g + 5.50r = 3577

Use the substitution method to solve:

g + r = 1197
2g + 5.50r = 3577

Equation 1 is in the correct format.
Equation 2 is in the correct format.

Rearrange Equation 2 to solve for g:

2g + 5.5r = 3577

Subtract 5.5r from both sides to isolate g:

2g + 5.5r - 5.5r = 3577 - 5.5r
2g = 3577 - 5.5r

Now divide by 2:

2g
2

=

3577 - 5.5r

2

Revised Equation 2:

g =	3577 - 5.5r
	2

Plug Revised Equation 2 value into g:

1(g) + r = 1197
1 * ((3577 - 5.50r)/2) + r = 1197
((3577 - 5.5r)/2) + r = 1197

Multiply equation 1 through by 2

2 * (((3577 - 5.5r)/2) + r = 1197)
2 * (((3577 - 5.5r)/2) + r = 1197)
3577 - 5.5r + 2r = 2394

Group like terms:

-5.5r + 2r = 2394 - 3577
-3.5r = -1183

Divide each side by -3.5

-3.5r
-3.5

=

-1183

-3.5

r =	-1183
	-3.5

r = 338

Plug this answer into Equation 1

1g + 1(338) = 1197
1g + 338 = 1197
1g = 1197 - 338
1g = 859

Divide each side by 1

1g
1

=

859

1

g =	859
	1

g = 859

Solve using Gauss Jordan Elimination

What is the Answer?

g = 859 and r = 338

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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Δ = a * e - b * d

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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

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