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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