Question

7x-2=8-x solve the equation and also check it also step by step
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Answer 1

Answer:

7x-2=x-5

Step-by-step explanation:

7x+x=8-x

8x-10

x=10/8

x=5/4

Answer 2

The solution of the equation is x = 5/4 and the solution is checked

Given :

The equation 7x - 2 = 8 - x

To find :

Solve the equation and check it

Solution :

Step 1 of 2 :

Solve the equation

Here the given equation is 7x - 2 = 8 - x

We solve the equation as below

$\displaystyle \sf 7x - 2 = 8 - x$

$\displaystyle \sf{ \implies }7x + x = 8 + 2$

$\displaystyle \sf{ \implies }8x = 10$

$\displaystyle \sf{ \implies }x = \frac{10}{8}$

$\displaystyle \sf{ \implies }x = \frac{5}{4}$

So the solution of the equation is x = 5/4

Step 2 of 2 :

Check the solution

The given equation is 7x - 2 = 8 - x

Putting x = 5/4 in LHS we get

LHS

$\displaystyle \sf = 7x - 2$

$\displaystyle \sf = 7 \times \frac{5}{4} - 2$

$\displaystyle \sf = \frac{35}{4} - 2$

$\displaystyle \sf = \frac{35 - 8}{4}$

$\displaystyle \sf = \frac{27}{4}$

Putting x = 5/4 in RHS we get

RHS

$\displaystyle \sf = 8 - x$

$\displaystyle \sf = 8- \frac{5}{4}$

$\displaystyle \sf = \frac{32- 5}{4}$

$\displaystyle \sf = \frac{27}{4}$

∴ LHS = RHS

Hence the solution is checked

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