Question

Solve the equation of x
19(x+y)+17 = 19(-x+y) - 21
​

Answer 1

Answer:

The required value of x$=-1$

Step-by-step explanation:

In accordance with the information provided in the question,

Given the data in question  19(x+y)+17 = 19(-x+y) - 21

We have find the value of x in above question

$19(x+y)+17=19(-x+y)=-21$

Arrange the equation multiply 19 into (x+y) LHS side and multiply 19 (-x+y) RHS side and get balance equation

$19x+19y+17=-19x+19y-21$

Hence, for solving the above equation, we will solve it by separating the like terms at one side to another side,

So, we will shift 19y from LHS to RHS the sign will change from positive to negative ,

So, we will shift 19x from RHS to LHS the sign will change from negative to positive,

As we get,

$19x+19y+1`7=-19x+19y-21\\19x+19x+17=19y-19y-21\\38x+17=-21$

Again so, we will shift 17 from LHS to RHS the sign will change from positive to negative ,

We get,

$38x+17=-21\\38x=-21-17\\38x=-38$

Dividing both side by 38 we get,

$\frac{38x}{38} =\frac{-38}{38} \\x=-1$

Hence the required value of x$=-1$

Answer 2

Given,

19(x+y)+17 = 19(-x+y) - 21

To find,

The value of x.

Solution,

The value of x will be 2/19.

We can easily solve this equation by following the given steps.

According to the question,

19(x+y)+17 = 19(-x+y) - 21

19x + 19y + 17 = -19x + 19y - 21 ( Multiplying 19 into the brackets on the left-hand side as well as the right-hand side.)

19x + 19x + 19y + 17 = 19y - 21 ( Moving -19x from the right-hand side to the left-hand side will result in the change of sign from minus to plus.)

38x + 19y + 17 = 19y - 21

38x + 17 = 19y - 19y - 21 ( Moving 19y from the left-hand side to the right-hand side will result in the change in the sign from plus to minus.)

38x + 17 = 21

38x = 21-17 ( Moving 17 from the left-hand side to the right-hand side.)

38x = 4

x = 4/38 ( 38 was in the multiplication on the left-hand side. So, it is in the division on the right-hand side.)

x = 2/19 ( After converting the fraction into its simplest form.)

Hence, the value of x is 2/19.