l Use Elimination to solve a + c = 327 and 4a + 1.50c = 978

Enter Equation 1

Enter Equation 2

    

Use the elimination method to solve:

a + c = 327

4a + 1.50c = 978

Check Format

Equation 1 is in the correct format.

Check Format

Equation 2 is in the correct format.

Step 1: Multiply Equation 1 by 4:

4 * (a+c=327) --> 4a + 4c = 1308

Step 2: Multiply Equation 2 by 1:

1 * (4a+1.50c=978) --> 4a + 1.5c = 978

Step 3: Equation 1 - Equation 2:

4a + 4c = 1308 - (4a + 1.5c = 978)
-(4a + 1.5c = 978)

4c - 1.5c = 1308 - 978

Step 4: simplify and solve for c:

2.5c = 330

c  =  330
  2.5

c = 132

Step 5: Rearrange Equation 1 to solve for a:

1a = 327 - 1c

Divide each side by 1

1a
1
=
  
327 - 1c
1

a  =  327 - 1c
  1

Step 6: Plug c = 132 into equation 1:

a  =  327 - 1(132)
  1

a  =  327 - 132
  1

a  =  195
  1

a = 195

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