Question

“35 more than .8 times a number is the same as 43 less than the product of -7 and the number.”

Please help and show the work :) I’m super lost.

Answer 1

To solve the equation, let's first define the number as 'x'. The equation '35 more than .8 times a number is the same as 43 less than the product of -7 and the number' can be written as 0.8x + 35 = -7x - 43. Solving for 'x', we find that the number is -10.

Step-by-step explanation:

To solve the equation, let's first define the number as 'x'. The equation '35 more than .8 times a number is the same as 43 less than the product of -7 and the number' can be written as:

0.8x + 35 = -7x - 43

To solve for 'x', we need to isolate it on one side of the equation. Let's start by moving the '-7x' term to the left side:

0.8x + 7x = -43 - 35

Combining the 'x' terms and simplifying the right side:

7.8x = -78

Dividing both sides by 7.8:

x = -10

Therefore, the number is -10.

Answer 2

x=8

Step-by-step explanation:

35 more than 8 times a number

.Let that number be x

35 more than 8 times the number x is written as 35+8x

And 43 less than the product of -7 and the number is written as 43 - -7x

=43+7x

and from the question, the two equations are equal,so we just place the equal sign between the two expression and solve for X

Thus

35+8x=43+7x

Grouping of like terms

8x-7x = 43-35

X = 8 .