﻿ Solving Linear Systems Using Algebraic Method Worksheet | Problems & Solutions

# Solving Linear Systems Using Algebraic Method Worksheet

Solving Linear Systems Using Algebraic Method Worksheet
• Page 1
1.
Which of the following solutions satisfies the linear system?
2$x$ + 3$y$ = 3
- 15$y$ = - 14 + 8$x$
 a. ($\frac{2}{3}$, $\frac{1}{2}$) b. (- $\frac{1}{2}$, $\frac{2}{3}$) c. ($\frac{1}{2}$, $\frac{2}{3}$) d. ($\frac{1}{2}$, - $\frac{2}{3}$)

2.
Solve the linear system:
4$x$ + $y$ = - 66
5$x$ - 4$y$ = 12
 a. (- 12, -17) b. (14, -16) c. (- 12, -18) d. (12, -17)

3.
Which of the following solutions satisfies the linear system?
3$x$ - $y$ = - 3
- 2$x$ + 3$y$ = 2
 a. (- 2, 0) b. (0, 1) c. (- 2, 1) d. (- 1, 0)

4.
Which of the following ordered pairs satisfies the linear system?
- 4$x$ + 3$y$ = - 3
3$y$ = 3 + 2$x$
 a. (-4, - 3) b. (2, 3) c. (- 3, 4) d. (3, 3)

5.
Solve the linear system.
3$x$ + $y$ = 10
2$x$ + $y$ = 6
 a. (4, - 2) b. (4, 2) c. (1, 2) d. (- 2, 4)

6.
Which of the following ordered pairs satisfies the linear system?
2$x$ - 3$y$ = 8
- 6$x$ + 3$y$ = 8
 a. (- $\frac{16}{3}$, - 4) b. (- 4, - $\frac{16}{3}$) c. (- 4, $\frac{16}{3}$) d. (4, $\frac{16}{3}$)

7.
Which of the following ordered pairs satisfies the linear system?
5$x$ + 3$y$ = -7
5$x$ - 3$y$ = -13
 a. (2, - 1) b. (2, 1) c. (- 2, 1) d. (- 2, - 1)

8.
Solve the linear system.
$x$ - 4$y$ = -26
- $x$ + 8$y$ = 58
 a. (6, 11) b. (6, 8) c. (6, 7) d. (7, 7)

9.
Solve the linear system:
$w$ + $z$ = 5
2$w$ = 6
 a. $w$ = 2, $z$ = 3 b. $w$ = 2, $z$ = - 3 c. $w$ = - 3, $z$ = 2 d. $w$ = 3, $z$ = 2

$a$ = $b$ - 4
2$a$ + $b$ = 16