Question

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

Answer 1

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 =( -8.4 )/(2.8)}`

`\sf {\implies x =\frac{ -84 * \cancel{10} }{28 * \cancel{10}}}`

`\sf {\implies x =( -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!

Answer 2

-3

Explanation:

1.5x + 1.3x = -8.4

2.8x = -8.4

x=-3