To solve simultaneous linear equations, multiply one equation by a coefficient to eliminate a variable when subtracting the equations, then substitute the found value back into one of the original equations to solve for the remaining variable. For example, with equations 2x + 5y = 11 and 3x + 4y = 10, multiplying the first equation by 2 gives 4x + 10y = 22, and multiplying the second by 2 gives 6x + 8y = 20; subtracting these yields -2x - 2y = -2, which simplifies to x = 2 and y = 1.
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Deep Dive
Simultaneous Equation in a minuteAdded:
Good day everyone. I'm here to show you the massive magic way to solve simultaneous linear equation in just a minute.
Now, instead of the normal way of finding step one, step two, step three, all we have to do is just mark this place.
This is a two. Now, use this two to multiply this. Two times times we're looking for x now.
Two times 11 give us 22.
Minus five times 10 will give us 50.
Then, you divide this.
Use this two also to multiply. Two times three will give us six.
And four times five will give us 20.
Now, 22 minus 50 will give us minus 28. And six minus 20 will give us minus 14. As we all know, the minus will cancel minus. 14 here, one.
14 here, two. That means x is equals to two. As simple just put x into any of these equation. Four into two plus 2y equals to 10.
Therefore, 2y is equals to 10. Four times two is eight, so minus eight.
2y equals to two.
So, therefore, y equals to one.
>> [clears throat] >> You find this so interesting?
Show me at the comment section that Jesus is 100% right.
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