Add: $3 x + 2 y - 5 z, 7 x - 3 y + 6 z, - 6 x + 2 z$ using the horizontal method.

Open in App

Solution

HORIZONTAL METHOD
Step 1. Connect all the expressions by plus signs.
$= (3 x + 2 y - 5 z) + (7 x - 3 y + 6 z) + (- 6 x + 2 z)$
Step 2. Open the brackets and collect the like terms in groups.
$= 3 x + 2 y - 5 z + 7 x - 3 y + 6 z - 6 x - 2 z$
$= 3 x + 7 x - 6 x + 2 y - 3 y - 5 z + 6 z + 2 z$
Step 3. Add the terms in each group.
$= 4 x - y + 3 z$
Step 4. Write the unlike terms along with their signs to form an algebraic expression.
$= 4 x - y + 3 z$
Hence, the sum of the algebraic expressions is $4 x - y + 3 z$ .

Suggest Corrections

Similar questions

Add the following expression using horizontal method: $x - 2 y - z, x + y + z a n d - x + y + 2 z$

Add the expression using horizontal method: $2 a + 3 b - 4 c a n d 3 a + 4 b + 2 c$

Add the following expressions using both the horizontal method and column method:

$2 x - 5 y + 6 z$ and $- 3 x + 2 y - 7 z$

Add the following expressions using both the horizontal method and column method:

$2 r - 3 s + t$ and $4 r + 4 s - 3 t$

x^{2} - 2 x y + 3 y^{2}; 5 y^{2} + 3 x y - 6 x^{2}

Join BYJU'S Learning Program