Use the substitution method to solve:
2x + 4y = 1
3x - 5y = 7
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:
3x - 5y = 7
Add 5y to both sides to isolate x
3x - 5y + 5y = 7 + 5y
3x = 7 + 5y
Now divide both sides by 3:
Revised Equation 2:
| x = | 7 + 5y |
| 3 |
Plug Revised Equation 2 value into x:
2(x) + 4y = 1
2 * ((7 + 5y)/3) + 4y = 1
((14 + 10y)/3) + 4y = 1
Multiply equation 1 through by 3
3 * (((14 + 10y)/3) + 4y = 1)
3 * (((14 + 10y)/3) + 4y = 1)
14 + 10y + 12y = 3
Group like terms:
10y + 12y = 3 - 14
22y = -11
Divide each side by 22
| y = | -11 |
| 22 |
y = -0.5
Plug this answer into Equation 1
2x + 4(-0.5) = 1
2x - 2 = 1
2x = 1 - -2
2x = 3
Divide each side by 2
| x = | 3 |
| 2 |
x = 1.5
What is the Answer?
x = 1.5 and y = -0.5
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
Tags:
Add This Calculator To Your Website
ncG1vNJzZmivp6x7rq3ToZqepJWXv6rA2GeaqKVfqLauwcutmKedn6rAbrHQrpitoZ%2BjwG%2B8x6l2rZ2ion5%2BftdkXGt6W2nGbHGSfWJqXqSav65%2BnGyvZGVbasZscZJ9YnBeoKGKlMHBrKuirKWptrC6