Solve by Cramer's rule
3x+4/y=7 and x+1/y=3
Answers
Answer:
3x - y = 7 … (1)
x + 4y = 11 … (2)
Multiply (1) by 4 to get
12x - 4y = 28 … (3)
x + 4y = 11 … (2)
Add (3) and (2), to get
13x = 39, or x = 3
Put this value x = 3 in (1) and you get
9 - y = 7
or 9–7 = y or y = 2.
Hence x =3, and y =2.
Answer:
Gi
Step-by-step explanation:
answr
search
What would you like to ask?
MATHS
Solve the following simultaneous equations using Cramer's rule.
3x+y=1;2x=11y+3
Share
Study later
ANSWER
Given equations are 3x+y=1 and 2x=11y+3
For cramers rule, We first find
D=(
3
2
1
−11
)
⇒∣D∣=
∣
∣
∣
∣
∣
∣
3
2
1
−11
∣
∣
∣
∣
∣
∣
=3×−11−1×2=−33−2=−35
For x matrix
D
x
=[
1
3
1
−11
]
⇒[D
x
]=
∣
∣
∣
∣
∣
∣
1
3
1
−11
∣
∣
∣
∣
∣
∣
=1×−11−1×3=−11−3=−14
For y matrix
D
y
=[
3
2
1
3
]
⇒[D
y
]=
∣
∣
∣
∣
∣
∣
3
2
1
3
∣
∣
∣
∣
∣
∣
=3×3−1×2=9−2=7
Therefore, x=
D
D
x
=
−35
−14
=
5
2
and y=
D
D
y
=
−35
7
=−
5
1