Use Substitution to solve x + 2y = 10 and 2x +y = 29
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Use the substitution method to solve:
x + 2y = 10
2x + y = 29
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 = 29
Subtract y from both sides to isolate x:
2x + y - y = 29 - y
2x = 29 - y
Plug Revised Equation 2 value into x:
1(x) + 2y = 10
1 * (29 - y) + 2y = 10
((29 - 1y)/2) + 2y = 10
Multiply equation 1 through by 2
2 * (((29 - 1y)/2) + 2y = 10)
2 * (((29 - 1y)/2) + 2y = 10)
29 - 1y + 4y = 20
Group like terms:
-1y + 4y = 20 - 29
3y = -9
Divide each side by 3
3y
3
=
-9
3
y =
-9
3
y = -3
Plug this answer into Equation 1
1x + 2(-3) = 10
1x - 6 = 10
1x = 10 - -6
1x = 16
Divide each side by 1
1x
1
=
16
1
x =
16
1
x = 16
What is the Answer?
x = 16 and y = -3
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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