SOLUTION: Linear System Solve by elimination. Check each solution. a) 2a+b=5 a-2b=10 b) 4k+3h=12 4k-h=4

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Question 177760: Linear System
Solve by elimination. Check each solution.
a) 2a+b=5
a-2b=10
b) 4k+3h=12
4k-h=4
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one of these and you can repeat the process for the other one.

Equation 1:
Equation 2:

Step 1: Multiply Eq. 1 by 2 so that the coefficients on the b terms are additive inverses (one is already -2 and the other becomes 2):

Equation 3:

Step 2: Add Eq 3 to Eq 2, term by term, eliminating the b variable (hence the name of the method)

Equation 4:

Step 3: Substitute the value determined for a into either of the original equations and then solve for b:

Equation 2:

Hence, the solution set for the system:

Equation 1:
Equation 2:

is the ordered pair

Checking the answer is left as an exercise for the student.