1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VIII
Mathematics
Solving Equations Algebraically
Add:5 x-8 y+2...
Question
Add:
5x − 8y + 2z, 3z − 4y − 2x, 6y − z − x and 3x − 2z − 3y
Open in App
Solution
Writing the terms of the given expressions (in the same order) in the form of rows with like terms below each other and adding column-wise, we get:
5
x
-
8
y
+
2
z
-
2
x
-
4
y
+
3
z
-
x
+
6
y
-
z
3
x
-
3
y
-
2
z
5
x
-
9
y
+
2
z
Suggest Corrections
2
Similar questions
Q.
Show that each of the following systems of linear equations is consistent and also find their solutions:
(i) 6x + 4y = 2
9x + 6y = 3
(ii) 2x + 3y = 5
6x + 9y = 15
(iii) 5x + 3y + 7z = 4
3x + 26y + 2z = 9
7x + 2y + 10z = 5
(iv) x − y + z = 3
2x + y − z = 2
−x −2y + 2z = 1
(v) x + y + z = 6
x + 2y + 3z = 14
x + 4y + 7z = 30
(vi) 2x + 2y − 2z = 1
4x + 4y − z = 2
6x + 6y + 2z = 3
Q.
5
x
−
4
y
−
{
7
x
−
(
3
z
−
2
y
)
+
4
z
−
3
(
x
+
3
y
−
2
z
)
}
]
=
Q.
Simplify:
5x − [4y − {7x − (3z − 2y) + 4z − 3(x + 3y − 2z)}]
Q.
Solve the following system of equations by matrix method:
(i)
x
+
y
−
z
= 3
2
x
+ 3
y
+
z
= 10
3
x
−
y
− 7
z
= 1
(ii)
x
+
y
+
z
= 3
2
x
−
y
+
z
= − 1
2
x
+
y
− 3
z
= − 9
(iii) 6
x
− 12
y
+ 25
z
= 4
4
x
+ 15
y
− 20
z
= 3
2
x
+ 18
y
+ 15
z
= 10
(iv) 3
x
+ 4
y
+ 7
z
= 14
2
x
−
y
+ 3
z
= 4
x
+ 2
y
− 3
z
= 0
(v)
2
x
-
3
y
+
3
z
=
10
1
x
+
1
y
+
1
z
=
10
3
x
-
1
y
+
2
z
=
13
(vi) 5
x
+ 3
y
+
z
= 16
2
x
+
y
+ 3
z
= 19
x
+ 2
y
+ 4
z
= 25
(vii) 3
x
+ 4
y
+ 2
z
= 8
2
y
− 3
z
= 3
x
− 2
y
+ 6
z
= −2
(viii) 2
x
+
y
+
z
= 2
x
+ 3
y
−
z
= 5
3
x
+
y
− 2
z
= 6
(ix) 2
x
+ 6
y
= 2
3
x
−
z
= −8
2
x
−
y
+
z
= −3
(x)
x
−
y
+
z
= 2
2
x
−
y
= 0
2
y
−
z
= 1
(xi) 8
x
+ 4
y
+ 3
z
= 18
2
x
+
y
+
z
= 5
x
+ 2
y
+
z
= 5
(xii)
x
+
y
+
z
= 6
x
+ 2
z
= 7
3
x
+
y
+
z
= 12
(xiii)
2
x
+
3
y
+
10
z
=
4
,
4
x
-
6
y
+
5
z
=
1
,
6
x
+
9
y
-
20
z
=
2
;
x
,
y
,
z
≠
0
(xiv)
x
−
y
+ 2
z
= 7
3
x
+ 4
y
− 5
z
= −5
2
x
−
y
+ 3
z
= 12
Q.
If
∣
∣ ∣
∣
x
x
+
y
x
+
y
+
z
2
x
3
x
+
2
y
4
x
+
3
y
+
2
z
3
x
6
x
+
3
y
10
x
+
6
y
+
3
z
∣
∣ ∣
∣
=
64
then find x.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Solving Equations Algebraically
MATHEMATICS
Watch in App
Explore more
Solving Equations Algebraically
Standard VIII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app