SaiBook.us SAT-2

Home Course Section

Schedule Admission Social

Lesson Example Discussion Quiz: Class Homework

Step-2

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	Solve for x and y in the system of linear equations: 11x + 9y = 18 and 8x - 12y = 10.
2	Step	The given equation - 1 is	11x + 9y = 18
3	Step	The given equation - 2 is	8x - 12y = 10
4	Step	Multiply equation - 1 by 12 to yield equation - 3	132x + 108y = 216
5	Step	Multiply equation-2 by 9, then we get equation-4	72x - 108y = 90
6	Step	Add equation - 3 and equation - 4	132x + 108y = 216 72x - 108y = 90
7	Step	After simplification	204x + 0 = 306
8	Step	Move the x coefficient to the right side, then solve for x	204x = 306 \$ x = 3/2 \$
9	Step	Substituting the value of x in equation - 1, then we get y value	16.5 + 9y = 18 \$ y = 1/ 6 \$
10	Choice.A	This option suggests the solution is \$x = 2/3\$ and \$y = 5/6\$. However, after solving the system of equations, we found that \$x = 3/2\$ and \$y = 1/6\$, so this option is incorrect	\$x = 2/3\$ and \$y = 5/6 \$
11	Choice.B	This option suggests the solution is \$x = 3/2\$ and \$y = 1/6\$. After solving the system of equations, we found that \$x = 3/2\$ and \$y = 1/6\$, so this option is correct	\$x = 3/2\$ and \$y = 1/6 \$
12	Choice.C	This option suggests the solution is \$x= 2/3\$ and \$y= -5/6\$. After solving the system of equations, we found that \$x = 3/2\$ and \$y = 1/6\$, so this option is incorrect	\$x = 2/3\$ and \$y = -5/6 \$
13	Choice.D	This option suggests the solution is \$x = -3/2\$ and \$y = 1/6\$. After solving the system of equations, we found that \$x = 3/2\$, not \$y = -3/2\$, so this option is incorrect	\$x = -3/2\$ and \$y = 1/6 \$
14	Answer	Option	B
15	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Solve for x and y in the system of linear equations: 11x + 9y = 18 and 8x - 12y = 10.

Step

The given equation - 1 is

11x + 9y = 18

Step

The given equation - 2 is

8x - 12y = 10

Step

Multiply equation - 1 by 12 to yield equation - 3

132x + 108y = 216

Step

Multiply equation-2 by 9, then we get equation-4

72x - 108y = 90

Step

Add equation - 3 and equation - 4

132x + 108y = 216
72x - 108y = 90

Step

After simplification

204x + 0 = 306

Step

Move the x coefficient to the right side, then solve for x

204x = 306
\$ x = 3/2 \$

Step

Substituting the value of x in equation - 1, then we get y value

16.5 + 9y = 18
\$ y = 1/ 6 \$

Choice.A

This option suggests the solution is \$x = 2/3\$ and \$y = 5/6\$. However, after solving the system of equations, we found that \$x = 3/2\$ and \$y = 1/6\$, so this option is incorrect

\$x = 2/3\$ and \$y = 5/6 \$

Choice.B

This option suggests the solution is \$x = 3/2\$ and \$y = 1/6\$. After solving the system of equations, we found that \$x = 3/2\$ and \$y = 1/6\$, so this option is correct

\$x = 3/2\$ and \$y = 1/6 \$

Choice.C

This option suggests the solution is \$x= 2/3\$ and \$y= -5/6\$. After solving the system of equations, we found that \$x = 3/2\$ and \$y = 1/6\$, so this option is incorrect

\$x = 2/3\$ and \$y = -5/6 \$

Choice.D

This option suggests the solution is \$x = -3/2\$ and \$y = 1/6\$. After solving the system of equations, we found that \$x = 3/2\$, not \$y = -3/2\$, so this option is incorrect

\$x = -3/2\$ and \$y = 1/6 \$

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?