How do I solve \(\text{SYSTEM OF EQUATIONS?}\) Look below to see the tutorial.

How do I solve \(\text{SYSTEM OF EQUATIONS?}\) Look below to see the tutorial.

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All of us probably know one-variable equations. But, the two-variable linear equations may confuse people. In this tutorial, solving two-variable systems would be explained by substitution and elimination. \(\LARGE \color{MidnightBlue}{\text {SUBSTITUTION}}\) \(\Large \color{purple}{\rightarrow 0.45x +0.65y = 18.55 }\) \(\Large \color{purple}{\rightarrow x + y = 35 }\) Okay, now let's take any of the variables. Let's say x for the sake of convenience. Now, we just have to solve for x by subracting y from both sides, and we get: \(\Large \color{purple}{\rightarrow x = 35 - y }\) Now, we'll replace x with 35 - y, and we get: \(\Large \color{purple}{\rightarrow 0.45(35 - y) + 0.65y = 18.55 }\) Now, we can solve the equation easily. \(\Large \color{MidnightBlue}{\text{ELIMINATION} }\) This one is again easy. You have to seek the possible ways. Let's solve the same system again! So, let's multiply the equation 'x + y = 35' by 0.45(both sides). We get: \(\Large \color{purple}{\rightarrow 0.45x + 0.45y = 15.75 }\) Subtract both equations: \(\Large \color{purple}{\rightarrow (0.45x - 0.45x) + (0.65y - 0.45y) = 19.25 }\) \(\Large \color{purple}{\rightarrow 0.20y = 19.25 }\) \(\Large \color{purple}{\rightarrow y = 96.25 }\) Now, we can just solve for x because we know the value of y.

ok...

@ParthKohli Is this "Tutorial" called "Collecting medals" ? lol

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