Question

9. Solve the equation. Check your solution, if possible. 1.5x + 1.3x = -8.4

Answer 1

Answer:

-3

Step-by-step explanation:

1.5x + 1.3x = -8.4

2.8x = -8.4

x=-3

Answer 2

Required Answer:

As per the provided question, we have to find the value of x. So, we can easily find the value of x by transposition method.

$\sf \red { 1.5x + 1.3x = -8.4 }$

$\sf {\implies 2.8x = -8.4 }$

$\sf {\implies x =\dfrac{ -8.4 }{2.8}}$

$\sf {\implies x =\dfrac{ -84 \times \cancel{10} }{28 \times \cancel{10}}}$

$\sf {\implies x =\dfrac{ -84 }{28}}$

$\sf {\implies x = -3}$ $\purple {\bigstar}$

Let's check it too by verifying it!

Verification:

Just substitute the value of x in L.H.S .

$\sf \red { 1.5x + 1.3x = -8.4 }$

Therefore

$\sf {\implies 1.5(-3) + 1.3(-3)= -8.4 }$

$\sf {\implies -4.5+ (-3.9)= -8.4 }$

$\sf {\implies -4.5-3.9= -8.4 }$

$\sf \purple {\implies -8.4= -8.4 }$

$\sf {\therefore L.H.S= R.H.S }$

So, done!