Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Linear Equations with Two Variables |
Grade: 10-a Lesson: S1-L2 |
Explanation: Hello Students, time to practice and review the steps. Let us take next 2-5 minutes to solve the steps for the problems. This is a good exercise to check your understanding of the concepts.Second student to identify and review important steps.Focus on understanding the concepts and application to solving problems step by step. |
Lesson: Step-1
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|1|{sbBox2-problem} 2+|Solve the following system of equations:
2x - 3y = 4 and 5x + y = 10.
|2|Step: >|The given equation-1 is | 2x - 3y = 4
|3|Step: >|The given equation-2 is | 5x + y = 10
|4|{sbBox2-hint}|Multiply equation-2 by 3, then we get equation-3 | 15x + 3y = 30
|5|Step: >|Add the equation-3
and equation-1
| \$15x + \cancel(3y) = 30\$
\$ 2x - \cancel(3y) = 4\$
|6|Step:|After simplification | 17x + 0 = 34
|7|Step:|Finding the x value | \$x = 34/17\$
x = 2 |8|{sbBox2-clue}|Substitute the x value in equation-1, we get y value | 4 - 3y = 4
y = 0
|9|Step: 2+|Therefore, the x and y values are x = 2, y = 0
|10|{sbBox2-sumup} |Can you summarize what you’ve understood in the above steps? |audio::https://uat-media.saibook.org/edu/family/counselor/v3/common/lesson/steps/sumup.mp3[width=24px,,float="right"]
|11|{sbBox2-choice-a} |This is a valid solution to the system as it satisfies both equations simultaneously| x = 2, y = 0
|12|{sbBox2-choice-b} |This is not a valid solution to the system as it doesn’t satisfy both equations simultaneously| x = 5 and y = -1
|13|{sbBox2-choice-c} |This is not a valid solution to the system as it doesn’t satisfy both equations simultaneously| x = -2 and y = 4
|14|{sbBox2-choice-d} |This is not a valid solution to the system as it doesn’t satisfy both equations simultaneously| x = -7 and y = 3
|15|{sbBox2-answer}| Option | A
|16|{sbBox2-sumup} |Can you summarize what you’ve understood in the above steps? |audio::https://uat-media.saibook.org/edu/family/counselor/v3/common/lesson/steps/sumup.mp3[width=24px,,float="right"]
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