Question

Q.13. Solve and verify:
19x - 13 = 11x + 35.​

Answer 1

Answer:

Solution for 19x-13=11x+35 equation:

Simplifying

19x + -13 = 11x + 35

Reorder the terms:

-13 + 19x = 11x + 35

Reorder the terms:

-13 + 19x = 35 + 11x

Solving

-13 + 19x = 35 + 11x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11x' to each side of the equation.

-13 + 19x + -11x = 35 + 11x + -11x

Combine like terms: 19x + -11x = 8x

-13 + 8x = 35 + 11x + -11x

Combine like terms: 11x + -11x = 0

-13 + 8x = 35 + 0

-13 + 8x = 35

Add '13' to each side of the equation.

-13 + 13 + 8x = 35 + 13

Combine like terms: -13 + 13 = 0

0 + 8x = 35 + 13

8x = 35 + 13

Combine like terms: 35 + 13 = 48

8x = 48

Divide each side by '8'.

x = 6

Simplifying

x = 6

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2x-2=8 x-3=5 3x+2=18 2x+10=12 6x-2=14 3x=12 4x-2=12 9x-3=6 12+x=5 x+8=13 all equations

Answer 2

Answer:

The value of x is 6 and it satisfies the equation.

Step-by-step explanation:

In context to questions asked

We have to determine the value of the equation, and also verify it.

Given that,

$19x - 13 = 11x + 35$

Now, add 13 on both sides:

=> $19x - 13 +13= 11x + 35+13$

Simplifying it further, we get

=> $19x = 11x + 35+13$

Add the numbers,

=> $19x = 11x + 48$

Subtract both sides by 11x,

=> $19x -11x= 11x + 48-11x$

=> $8x = 48$

Divide both sides by 8,

=> $x = 6$

Verification:-

Plug the value of x as 6 in the equation:

=> $19x - 13 = 11x + 35$

=> 19 ( 6 ) - 13 = 11 ( 6 ) + 35

Simplifying it further,

=> 114 - 13 = 66 + 35

=> 101 = 101

LHS = RHS