Use Substitution to solve 2x - y = 16 and x + 3y = 1
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Use the substitution method to solve:
2x - y = 16
x + 3y = 1
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 + 3y = 1
Subtract 3y from both sides to isolate x:
x + 3y - 3y = 1 - 3y
x = 1 - 3y
Now divide by 1:
x
1
=
1 - 3y
1
Revised Equation 2:
x =
1 - 3y
1
Plug Revised Equation 2 value into x:
2(x) - y = 16
2 * ((1 - 3y)/1) - y = 16
2 - 6y - y = 16
Group like terms:
-6y - y = 16 - 2
-7y = 14
Divide each side by -7
-7y
-7
=
14
-7
y =
14
-7
y = -2
Plug this answer into Equation 1
2x - 1(-2) = 16
2x + 2 = 16
2x = 16 - 2
2x = 14
Divide each side by 2
2x
2
=
14
2
x =
14
2
x = 7
What is the Answer?
x = 7 and y = -2
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
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