Question

show that x=4 is a solution of the equation x+7 - 8x/3= 17/6 -5x/8

Answer 1

Put all x one side and other numbers a side first
x+8x/3+5x/8=17/6-7
Take LCM
(24x-64x+15x)/24=(17-42)/6
(-25/24)x=(-25/6)
(-24)gets cancelled on both sides
x/24=x/6
Cancel 24 with 6
x/4=1
x=4
Hence proved

Answer 2

Concept Introduction:

For x to solution of an equation if we put the given value of x then the LHS of solution must be equal to RHS of the equation.

Given: The equation $x+7 - 8x/3= 17/6 -5x/8$

To Find:

We have to find whether $x=4$ is a solution of the given equation or not.

Solution:

According to the problem,

The equation is $x+7 - 8x/3= 17/6 -5x/8$

LHS= $x+7 - 8x/3=4+7-\frac{8*4}{3} =11-32/3=\frac{33-32}{3} =1/3$

RHS=$17/6 -5x/8=17/6-\frac{5*4}{8} =17/6-20/8=17/6-5/2=\frac{17-15}{6} =2/6=1/3$

∵LHS=RHS

∴  $x=4$ is a solution of the given equation.

Final Answer:

$x=4$ is a solution of the given equation .

#SPJ2