Use Substitution to solve x + 2y = 22 and 2x + y = 28
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Use the substitution 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.
Rearrange Equation 2 to solve for x:
2x + y = 28
Subtract y from both sides to isolate x:
2x + y - y = 28 - y
2x = 28 - y
Plug Revised Equation 2 value into x:
1(x) + 2y = 22
1 * (28 - y) + 2y = 22
((28 - 1y)/2) + 2y = 22
Multiply equation 1 through by 2
2 * (((28 - 1y)/2) + 2y = 22)
2 * (((28 - 1y)/2) + 2y = 22)
28 - 1y + 4y = 44
Group like terms:
-1y + 4y = 44 - 28
3y = 16
Divide each side by 3
3y
3
=
16
3
y =
16
3
y = 5.3333333333333
Plug this answer into Equation 1
1x + 2(5.3333333333333) = 22
1x + 10.666666666667 = 22
1x = 22 - 10.666666666667
1x = 11.333333333333
Divide each side by 1
1x
1
=
11.333333333333
1
x =
11.333333333333
1
x = 11.333333333333
What is the Answer?
x = 11.333333333333 and y = 5.3333333333333
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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