Use Elimination to solve 2a + 3k = 51 and 3a + k = 45
Crop Image
Use the elimination method to solve:
2a + 3k = 51
3a + k = 45
Check Format
Equation 1 is in the correct format.
Check Format
Equation 2 is in the correct format.
Step 1: Multiply Equation 1 by 3:
3 * (2a+3k=51) --> 6a + 9k = 153
Step 2: Multiply Equation 2 by 2:
2 * (3a+k=45) --> 6a + 2k = 90
Step 3: Equation 1 - Equation 2:
6a + 9k = 153 - (6a + 2k = 90) -(6a + 2k = 90)
9k - 2k = 153 - 90
Step 4: simplify and solve for k:
7k = 63
k =
63
7
k = 9
Step 5: Rearrange Equation 1 to solve for a:
2a = 51 - 3k
Divide each side by 2
2a
2
=
51 - 3k
2
a =
51 - 3k
2
Step 6: Plug k = 9 into equation 1:
a =
51 - 3(9)
2
a =
51 - 27
2
a =
24
2
a = 12
What is the Answer?
a = 12
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?