Question

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vin
ving an Equation with a Variabl
Solve this equation with a variable term on both sides:
5.1y+21.3=-0.3y - 24.6
What is the solution?
y =

Answer 1

To solve the equation 5.1y + 21.3 = -0.3y - 24.6, we need to isolate the variable y on one side of the equation. By simplifying and carefully moving terms, we find that y = -9.

Step-by-step explanation:

To solve the equation 5.1y + 21.3 = -0.3y - 24.6, we need to isolate the variable y on one side of the equation. We can do this by moving the 0.3y term to the left side and the constant terms to the right side. Let's start by subtracting 0.3y from both sides:

5.1y + 21.3 - 0.3y = -0.3y - 24.6 - 0.3y

Simplifying, we have:

4.8y + 21.3 = -24.6 - 0.3y

Next, let's move the constant terms to the right side:

4.8y + 21.3 + 0.3y = -24.6 - 0.3y + 0.3y

Combining like terms, we get:

5.1y + 21.3 = -24.6

Now, let's isolate the variable y by subtracting 21.3 from both sides:

5.1y + 21.3 - 21.3 = -24.6 - 21.3

This simplifies to:

5.1y = -45.9

Finally, to find the value of y, we divide both sides by 5.1:

y = -45.9 / 5.1

y = -9

Learn more about solving equations with variables on both sides