Use Elimination to solve x + 2y = 3 and 2x + y = 24
Crop Image
Use the elimination method to solve:
x + 2y = 3
2x + y = 24
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=3) --> 2x + 4y = 6
Step 2: Multiply Equation 2 by 1:
1 * (2x+y=24) --> 2x + 1y = 24
Step 3: Equation 1 - Equation 2:
2x + 4y = 6 - (2x + 1y = 24) -(2x + 1y = 24)
4y - 1y = 6 - 24
Step 4: simplify and solve for y:
3y = -18
y =
-18
3
y = -6
Step 5: Rearrange Equation 1 to solve for x:
1x = 3 - 2y
Divide each side by 1
1x
1
=
3 - 2y
1
x =
3 - 2y
1
Step 6: Plug y = -6 into equation 1:
x =
3 - 2(-6)
1
x =
3 - -12
1
x =
15
1
x = 15
What is the Answer?
x = 15
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.
What 1 formula is used for the Simultaneous Equations Calculator?