Using substitution method, solve these equations 1) a+ 3b = 43 2 a - 2b = 24
Question
Using substitution method, solve these equations
- a+ 3b = 43 2 a - 2b = 24
Solution
Sure, let's solve these equations step by step using the substitution method.
Step 1: From the first equation, we can express 'a' in terms of 'b'. So, we get:
a = 43 - 3b
Step 2: Substitute 'a' from the first equation into the second equation. So, we get:
2(43 - 3b) - 2b = 24 86 - 6b - 2b = 24 86 - 8b = 24 -8b = 24 - 86 -8b = -62 b = -62 / -8 b = 7.75
Step 3: Substitute 'b' = 7.75 into the first equation to find 'a'. So, we get:
a = 43 - 3(7.75) a = 43 - 23.25 a = 19.75
So, the solution to the system of equations is a = 19.75 and b = 7.75.
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