Question

use elimination to solve the below systems of equations. check your work by substituting the values back into the systems.

1. \\(\

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

\\)

1. \\(\

$$\begin{aligned} -x + y &= 1 \\\\ x + y &= 11 \\end{aligned}$$

\\)

1. \\(\

$$\begin{aligned} x + 4y &= 11 \\\\ x - 6y &= 11 \\end{aligned}$$

\\)

1. \\(\

$$\begin{aligned} -x + 3y &= 6 \\\\ x + 3y &= 18 \\end{aligned}$$

\\)

1. \\(\

$$\begin{aligned} 3x + 4y &= 19 \\\\ 3x + 6y &= 33 \\end{aligned}$$

\\)

1. \\(\

$$\begin{aligned} x + 4y &= -8 \\\\ x - 4y &= -8 \\end{aligned}$$

\\)

Explanation:

Solve Question 1 by elimination

$$
LATEXBLOCK0
$$

Solve Question 2 by elimination

$$
LATEXBLOCK1
$$

(Note: The handwritten work in the image contains an arithmetic error where the student subtracted the equations incorrectly as \(-2x = 10\).)

Solve Question 3 by elimination

$$
LATEXBLOCK2
$$

Solve Question 4 by elimination

$$
LATEXBLOCK3
$$

Solve Question 5 by elimination

$$
LATEXBLOCK4
$$

Solve Question 6 by elimination

$$
LATEXBLOCK5
$$

Answer:

No.	Answer
2	\((5, 6)\)
3	\((11, 0)\)
4	\((6, 4)\)
5	\((-3, 7)\)
6	\((-8, 0)\)