Question

Solve the equation.

What is the solution to the linear equation?

2.8y + 6 + 0.2y = 5y – 14

y = –10
y = –1
y = 1
y = 10

Answer 1

Let's go through the solution step-by-step, ensuring we correctly account for all terms:

2.8y + 6 + 0.2y = 5y - 14

In the first step, we combine "y" terms on the left side:

(2.8y + 0.2y) + 6 = 5y - 14

2.8y + 0.2y is the same as 3y:

3y + 6 = 5y - 14

Next, let's isolate the "y" terms on one side by moving 3y to the right side:

3y - 5y + 6 = -14

Combine the "y" terms on the left side:

-2y + 6 = -14

Now, we'll isolate the constant term by moving 6 to the right side:

-2y = -14 - 6

Simplify the right side:

-2y = -20

Finally, to solve for "y," divide both sides by -2:

y = -20 / -2

y = 10

So, the correct solution to the linear equation is y = 10.

I hope this helped!

~~~Harsha~~~

Answer 2

Hello!

Answer:

`\Large \boxed{\sf y = 10}`

Explanation:

We want to solve this equation:

`\sf 2.8y + 6 + 0.2y = 5y - 14`

◼ Simplify both sides:

`\sf 3y + 6 = 5y - 14`

◼ Add 14 from both sides:

`\sf 3y + 6 +14= 5y - 14+14`

◼ Simplify both sides:

`\sf 3y +20= 5y`

◼ Subtract 3y from both sides:

`\sf 3y +20-3y= 5y-3y`

◼ Simplify both sides:

`\sf 20 = 2y`

◼ Divide both sides by 2:

`\sf (20)/(2) = (2y)/(2)`

◼ Simplify both sides:

`\boxed{\sf y = 10}`