Lesson Example Discussion Quiz: Class Homework |
Step-4 |
Title: Linear Equations with Two Variables |
Grade: 10-a Lesson: S1-L2 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Determine the solution to the following system of linear equations: 3x + y = 2 and x - 2y = 1. |
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2 |
Step |
The given equation - 1 is |
3x + y = 2 |
3 |
Step |
The given equation - 2 is |
x - 2y = 1 |
4 |
Step |
When equation - 1 is doubled, it becomes equation - 3 |
6x + 2y = 4 |
5 |
Step |
Combine equation 3 with equation 1 for a solution |
6x + 2y = 4 |
6 |
Step |
After simplification |
7x - 0 = 5 |
7 |
Step |
Find for x value |
7x = 5 |
8 |
Step |
Plug the x value in equation - 2 to find the y value |
\$ 5/7 - 2y = 1 \$ |
9 |
Choice.A |
This choice is Incorrect because x doesn’t equal \$6/11\$ |
\$x = 6/11\$ and \$y = - 1/7\$ |
10 |
Choice.B |
This choice is correct because both x and y values match the solution |
\$x = 5/7\$ and \$y = - 1/7\$ |
11 |
Choice.C |
This option is incorrect because y doesn’t equal \$1/7\$ |
\$x = 5/7\$ and \$y = 1/7\$ |
12 |
Choice.D |
This option is incorrect because x should be \$5/7\$, not \$- 5/7\$ |
\$x = - 5/7\$ and \$y = - 1/7\$ |
13 |
Answer |
Option |
B |
14 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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