How do you solve the following linear system: # 8x - 7y = -3 , 6x - 5y = -1 #?
1 Answer
Explanation:
In order to solve systems of linear equations, we can use either of the three methods (1) elimination, (2) substitution, and (3) graphing. For this question I would use the elimination because I am more used to it and I think that it is quicker to do but note that using any of the three methods would give you the same result.
[Solution]
Multiplying the first equation by 3 and multiplying the second equation by 4 would make the coefficients of the first terms of both equations 24. This would allow us to eliminate the
Subtracting the two equations...
Once we get the value of
[Checking byt substituting
*First Equation
*Second Equation
Since both equations were satisfied by the computed values, we know that our answer is correct!