Use Substitution to solve 0.08x + 0.2y = 54 and x + y = 450

Use Substitution to solve 0.08x + 0.2y = 54 and x + y = 450 Image to Crop

Use the substitution method to solve:

0.08x + 0.2y = 54

x + y = 450

Check Format

Equation 1 is in the correct format.

Check Format

Equation 2 is in the correct format.

Rearrange Equation 2 to solve for x:

x + y = 450

Subtract y from both sides to isolate x:

x + y - y = 450 - y

x = 450 - y

Plug Revised Equation 2 value into x:

0.08(x) + 0.2y = 54

0.08 * (450 - y) + 0.2y = 54

36 - 0.08y + 0.2y = 54

Group like terms:

-0.08y + 0.2y = 54 - 36

0.12y = 18

Divide each side by 0.12

y =	18
	0.12

y = 150

Plug this answer into Equation 1

0.08x + 0.2(150) = 54

0.08x + 30 = 54

0.08x = 54 - 30

0.08x = 24

Divide each side by 0.08

x =	24
	0.08

x = 300

What is the Answer?

x = 300 and y = 150

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 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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