Use Elimination to solve x + 2y = 22 and 2x + y = 28
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Use the elimination method to solve:
x + 2y = 22
2x + y = 28
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 2:
2 * (x+2y=22) --> 2x + 4y = 44
Step 2: Multiply Equation 2 by 1:
1 * (2x+y=28) --> 2x + 1y = 28
Step 3: Equation 1 - Equation 2:
2x + 4y = 44 - (2x + 1y = 28) -(2x + 1y = 28)
4y - 1y = 44 - 28
Step 4: simplify and solve for y:
3y = 16
y =
16
3
y = 5.3333333333333
Step 5: Rearrange Equation 1 to solve for x:
1x = 22 - 2y
Divide each side by 1
1x
1
=
22 - 2y
1
x =
22 - 2y
1
Step 6: Plug y = 5.3333333333333 into equation 1:
x =
22 - 2(5.3333333333333)
1
x =
22 - 10.666666666667
1
x =
11.333333333333
1
x = 11.333333333333
What is the Answer?
x = 11.333333333333
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.
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