Question

1. \\(\

$$\begin{aligned} 3a + 4b &= 2 \\\\ 4a - 4b &= 12 \\end{aligned}$$

\\)

1. \\(\

$$\begin{aligned} 3x - y &= -1 \\\\ -3x - y &= 5 \\end{aligned}$$

\\)

1. \\(\

$$\begin{aligned} 2x - 3y &= 9 \\\\ -5x - 3y &= 30 \\end{aligned}$$

\\)

1. \\(\

$$\begin{aligned} x - y &= 4 \\\\ 2x + y &= -4 \\end{aligned}$$

\\)

1. \\(\

$$\begin{aligned} 3y - x &= 2 \\\\ -2y - x &= -18 \\end{aligned}$$

\\)

1. \\(\

$$\begin{aligned} 5x - y &= -6 \\\\ -x + y &= 2 \\end{aligned}$$

\\)

Explanation:

Solve Question 7 by adding equations

Using the Systems of Equations and Elimination Method knowledge points

$$
LATEXBLOCK0
$$

Using the Substitution Method knowledge point

$$
LATEXBLOCK1
$$

Solve Question 8 by adding equations

Using the Systems of Equations and Elimination Method knowledge points

$$
LATEXBLOCK2
$$

Using the Substitution Method knowledge point

$$
LATEXBLOCK3
$$

Solve Question 9 by subtracting equations

Using the Systems of Equations and Elimination Method knowledge points

$$
LATEXBLOCK4
$$

Using the Substitution Method knowledge point

$$
LATEXBLOCK5
$$

Solve Question 10 by adding equations

Using the Systems of Equations and Elimination Method knowledge points

$$
LATEXBLOCK6
$$

Using the Substitution Method knowledge point

$$
LATEXBLOCK7
$$

Solve Question 11 by subtracting equations

Using the Systems of Equations and Elimination Method knowledge points

$$
LATEXBLOCK8
$$

Using the Substitution Method knowledge point

$$
LATEXBLOCK9
$$

Solve Question 12 by adding equations

Using the Systems of Equations and Elimination Method knowledge points

$$
LATEXBLOCK10
$$

Using the Substitution Method knowledge point

$$
LATEXBLOCK11
$$

Answer:

No.	Problem	Answer

| 7 | \(

$$\begin{cases} 3a + 4b = 2 \\ 4a - 4b = 12 \end{cases}$$

\) | \(a = 2, b = -1\) |
| 8 | \(

$$\begin{cases} 3x - y = -1 \\ -3x - y = 5 \end{cases}$$

\) | \(x = -1, y = -2\) |
| 9 | \(

$$\begin{cases} 2x - 3y = 9 \\ -5x - 3y = 30 \end{cases}$$

\) | \(x = -3, y = -5\) |
| 10 | \(

$$\begin{cases} x - y = 4 \\ 2x + y = -4 \end{cases}$$

\) | \(x = 0, y = -4\) |
| 11 | \(

$$\begin{cases} 3y - x = 2 \\ -2y - x = -18 \end{cases}$$

\) | \(x = 10, y = 4\) |
| 12 | \(

$$\begin{cases} 5x - y = -6 \\ -x + y = 2 \end{cases}$$

\) | \(x = -1, y = 1\) |