Use Substitution to solve 2x
Use the substitution method to solve:
2x - 4y = 6
x + y = 8
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 = 8
Subtract y from both sides to isolate x:
x + y - y = 8 - y
x = 8 - y
Plug Revised Equation 2 value into x:
2(x) - 4y = 6
2 * (8 - y) - 4y = 6
16 - 2y - 4y = 6
Group like terms:
-2y - 4y = 6 - 16
-6y = -10
Divide each side by -6
y = | -10 |
-6 |
y = 1.6666666666667
Plug this answer into Equation 1
2x - 4(1.6666666666667) = 6
2x - 6.6666666666667 = 6
2x = 6 - -6.6666666666667
2x = 12.666666666667
Divide each side by 2
12.666666666667 |
2 |
x = | 12.666666666667 |
2 |
x = 6.3333333333333
What is the Answer?
x = 6.3333333333333 and y = 1.6666666666667
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 numberSimultaneous Equations Calculator Video
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