Use Elimination to solve 2x - y = 16 and x + 3y = 1
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Use the elimination 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.
Step 1: Multiply Equation 1 by 1:
1 * (2x-y=16) --> 2x - 1y = 16
Step 2: Multiply Equation 2 by 2:
2 * (x+3y=1) --> 2x + 6y = 2
Step 3: Equation 1 - Equation 2:
2x - 1y = 16 - (2x + 6y = 2) -(2x + 6y = 2)
-1y - 6y = 16 - 2
Step 4: simplify and solve for y:
-7y = 14
y =
14
-7
y = -2
Step 5: Rearrange Equation 1 to solve for x:
2x = 16 - -1y
Divide each side by 2
2x
2
=
16 - -1y
2
x =
16 - -1y
2
Step 6: Plug y = -2 into equation 1:
x =
16 - -1(-2)
2
x =
16 - 2
2
x =
14
2
x = 7
What is the Answer?
x = 7
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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