SIMULTANEOUS EQUATIONS
PAPER 2
1.
Solv
Solvee the
the simu
simult
ltan
aneo
eous
us equa
equati
tion
onss x + 2y = x2 –3y + y2 = 4.
2.
Solv
Solvee the
the simu
simult
ltan
aneo
eous
us equa
equati
tion
onss x +
3.
Solv
Solvee the
the sim
simulta
ultane
neou
ouss equa
equati
tion
onss 2y – x = 1 and
4.
Solv
Solvee the
the simu
simult
ltan
aneo
eous
us equa
equati
tion
onss 2x + 3y + 1 = 0 and y2 + 6xy + 6 = 0.
Give ou! ans"e!s #o!!e#t to th!ee de#imal $la#es.
[5 marks]
marks]
5.
Solv
Solvee the
the simu
simult
ltan
aneo
eous
us equa
equati
tion
onss 4x + y + % = x2 + x – y = 2.
[5 marks]
marks]
6.
Solv
Solvee the
the simu
simult
ltan
aneo
eous
us equa
equati
tion
onss
7.
Solv
Solvee the
the simu
simult
ltan
aneo
eous
us equa
equati
tion
onss 2x + 3y = & and
%.
Solv
Solvee the
the simu
simult
ltan
aneo
eous
us equa
equati
tion
onss 3x – 2y = 5 and x2 – y2 – y
&.
Solv
Solvee the
the simu
simult
ltan
aneo
eous
us equa
equati
tion
onss 2y 2 = 3'1 – x ( and
10.
10.
Solv
Solvee the
the simul
simulta
tane
neou
ouss equa
equati
tion
onss 2 x + y = & and x'1
x'1 – y(
y( = 3 x 2 + 1 .
Give ou! ans"e!s #o!!e#t to t"o de#imal $la#es.
11.
11.
x
3
+
y
2
2
y
=
[5 marks]
marks]
2
= 1 and y − 10 = 2 x .
4
3
+
x
y
7.
=
[6 marks]
marks]
4 and x+
x+ 6y = 3.
6y
x
Solv
Solvee the
the simul
simulta
tane
neou
ouss equa
equati
tion
onss 2 x + y =1 and 2 x
Give ou! ans"e!s #o!!e#t to th!ee de#imal $la#es.
2
−
x
y
y
x
+
y
2
[6 marks]
marks]
1.
= −
=
3 = 0.
−
3.
+
[5 marks]
marks]
[6 marks]
marks]
[5 marks]
marks]
[5 marks]
marks]
[5 marks]
marks]
xy = 5.
[5 marks]
marks]
ANSWERS – SIMULTANEOUS EQUATIONS
12
4
1.
x=
2.
x = 3) y = 4 * x =
3.
x = 1) y = 1 * x = −
4.
x = 1.105) y =
5.
x=
6.
x = 0) y =
7.
x = 3 ) y =1* x = 1% ) y =
%.
x=
&.
x=
10.
x=
11.
x
5
−
5
1
3
1
) y=
* x = 2) y = 3
−
1
2
4
7
) y=3
1.07 * x =
−
2* x=
1
5
*
−
14
−
1.55 ) y = 0.70
4) y = 10
−
−
2
&
x = 3) y = 2
) y = 1* x =
−
1
2
)y=
7.%7) y = 24.75 * x =
y
3
) y=
* x = 15) y =
2
1.443 )
=
5
−
1) y =
&
−
)y=
1.%%6*
=−
x
−
−
3
2
0.13 ) y = &.25
0.6&30)
=−
y
=
2.3%6