A linear equation in two variables is an equation that can be written in the standard form A1x + B1y + C1 = 0, where A1 and B1 are coefficients and C1 is a constant, and it represents a straight line when graphed; the video demonstrates how to translate word problems into algebraic expressions by converting phrases like 'seven years ago' to (x - 7) and 'after three years' to (x + 3), then simplifying to form linear equations.
Deep Dive
Prerequisite Knowledge
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Where to go next
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Deep Dive
Bodo Math : Class 10 : Chapter 3 : Pair of Linear Equations in two variables #bodo #bodocultureAdded:
[music] Hi there. Welcome back to the channel.
Please keep watching. Now let us get going.
pair of linear equations in two variables.
Topic we will learn concept linear equation.
Now we'll try to understand there are different forms of equation linear equation form first form standard form this is standard form this is standard form for slope intercept form this is this one okay life real examples That means equation equation.
Okay.
Exercise 3.1.
Okay, let us get going.
All right, linear equation.
A1 x + b1 y + c1 = 0.
A1 B1 coefficient cofficient. Okay. C1 constant. Correct.
Now example 2x + 3 y - 30 = 0.
Example correct. Example 3x + 2 y + 2 0 = again zero example the possible equations for actually straight line.
Okay. Because in straight line, okay.
Now there is an intersection here.
Okay.
like this.
Okay.
Okay.
Okay. Let us see some example now.
All right.
3.1 first exercise step by step we'll do very very slowly.
All right. For agree first.
Correct.
Seven times. Right. Next line means after three years from now means three times. [snorts] Is it not interesting? Question mark.
is in situation.
Expression.
All right. Now that is the most important linear equation equations.
first years.
All right, let us now important.
Okay. All right. [snorts] Very important before we were very very important. Okay.
means seven years ago.
Seven times.
Okay.
Next line.
[clears throat] Three is very very important.
For after three times important words important words. There are six important words.
Uh 7 years.
Seven years.
years.
Okay.
X variable. Correct. This is a variable.
Correct.
= again.
Now 7 years x - 7.
Is it x + 7? No, that is why x - 7 y - 7 right now after 3 Yes.
After 3 years x + 3 correct y + 3 again x + 3 again y + 3. Okay. You agree with me right now?
Second step. This is third step. Third step.
Okay. Expression.
All right. Next step.
Seven years.
Seven times x - 7 - Okay. Seven times.
Okay. That is why we are multipl [snorts] - 7 = 7 y - 7 into 7. Simple multiplication. Okay.
because simplifying next x - 7 - 7 y 7 y + 4 9 = 0 then you know right how to simplify it okay x - 7 y + 42 = 0 first equation First someone died. First algebraic expression. Okay, we are done with the first one. Now second second equation multiply right must x + 3 x + 3 = 3 into y + 3.
Okay.
Right. [snorts] Next line. Now simply simplifying x + 3 = 3 y + 3 into 3. Simple. Okay.
Next x + 3 - 3 y - 9 = 0. Okay. Simplify x - 3 y - 6 = 0.
second equation algebraic expression.
Okay. [snorts] So linear equations correct that is how we have solved this problem this particular exercise.
Okay, let us move on.
All right, take care. Bye.
[music] >> [music] [music]
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