Simultaneous Linear Equations (Edexcel GCSE Exam Questions) Q1. Solve the simultaneous equations
4x + 2y = 7 3x − 5y = −24
x = ...........................................................
y = ...........................................................
(Total for question = 4 marks)
Q2. Solve the simultaneous equations
5x + 2y = −2 3x − 5y = 11.2
x = ...........................................................
y = ...........................................................
(Total for question = 4 marks)
x5 20 4 10g 3520 2 Gx 10g 48
262 13K 13
26x
Sub for in
4C E 2g 7 I2
2 t 2g 7 92
2g 71 2
2g 9
y e 92
Sub for in5 0.4 2g 2Z t 2y 2x5 25K toy 10
2g Z Z20 2 Gx 10g 22.4
Zy 4312 12.4 y 1
212.42 5 231 0.4
K 0.4 Z
Q3. Solve the simultaneous equations
3x + 4y = 5
2x − 3y = 9
x = ...........................................................
y = ...........................................................
(Total for Question is 4 marks)
Q4. Solve the simultaneous equations
4x + 7y = 1 3x + 10y = 15
x = . . . . . . . . . . . . . . . . . . . . . .
y = . . . . . . . . . . . . . . . . . . . . . .
(Total for Question is 4 marks)
Sub for in
3 3 t4y 5x3 9x 12g 15 9 4g 5204 8x 12g 36 4g 5 9
t 17k 51 4g 4
x y 4417
g I
3
I
xD 40 702 1020 7 21 79 105
192C 95x 95
Sub for xin Tg4C 5 7g x 520 17g I
57y 1 20
73 21 3g L
7y
Q5. Solve
x = ...........................................................
y = ...........................................................
(Total for question = 4 marks)
Q6.
Solve the simultaneous equations 3x + 2y = 4 4x + 5y = 17
x ...........................................................
y ...........................................................
(Total for Question is 4 marks)
Sob for ac in8 f 12g f80
4 8xtl2y g t 12g
20 3 9k 12g 54 12g Iz 803
17k 541 31 12g I3
17k 1 t 12y 24
ye24172II 123 y
X 170317 I3
x to3 Z
Sob for in
8C 2 toy 3416 1 toy 34
x5 15 1 109 20 toy 341 1620 2 8 1 105 34 log 50
Tx 14 y 501014K7 y
x 225
Q7. Solve the simultaneous equations
4x + y = 25 x − 3y = 16
x =........................................................... y =...........................................................
(Total for Question is 3 marks) Q8. Solve the simultaneous equations
3x – 2y = 7 7x + 2y = 13
.............................................................................................................................................. (Total for Question is 3 marks)
x3 12 33 75
13k 91X 91Sub for in 13
4G y 25 2
28 ty 25 73 25 28 3
y
Sub for x in10x 20
z 2g 13x 20
10 14 2g 132 2 2g 13 14
2g I
y E
2 2 y Lz
Q9. Solve the simultaneous equations 3x + 10y = 7 x – 4y = 6
x = . . . . . . . . . . . . . . . . . . . . . . . y = . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question is 3 marks) Q10. Solve the simultaneous equations
4x − 5y = 33
3x + y = 1
x = ...........................................................
y = ...........................................................
(Total for Question is 3 marks)
Sub for in
x2 Gx t 20g 14 614 t 20g 14
20 5 5x 20g 30 24 t 20g 1420g 14 24
I lol 4420g 10
a 44yI I 20
K ye t
4 tz
20 5 15xt5y 51 192C I 38
X 3819
Sub for x in x 23 2 ty I6 y I 2
y I 6
y 5 5