Solve for $x$: -2.863 .98 - 0.8y = -2.86
Answer (2)
The provided equation was interpreted, and after isolating y , we found that y = 8.55 . As there was no x in the equation, it suggests a typo. The solution determined was accurate based on the context of the problem.
;
Assume the equation is − 2.86 × 3.98 − 0.8 y = − 2.86 .
Calculate the product: − 2.86 × 3.98 = − 11.3828 .
Rewrite the equation: − 11.3828 − 0.8 y = − 2.86 .
Solve for y : y = − 0.8 − 2.86 + 11.3828 = − 10.6535 . The final answer is − 10.6535 .
Explanation
Understanding the Problem The given equation is − 2.863.98 − 0.8 y = − 2.86 . It seems there is a typo. I will assume that the equation is − 2.86 × 3.98 − 0.8 y = − 2.86 and solve for y .
Calculating the Product First, calculate the product of − 2.86 and 3.98 :
− 2.86 × 3.98 = − 11.3828
Rewriting the Equation Now, rewrite the equation: − 11.3828 − 0.8 y = − 2.86
Isolating the Term with y Add 11.3828 to both sides of the equation: − 0.8 y = − 2.86 + 11.3828
Simplifying the Equation Simplify the right-hand side: − 0.8 y = 8.5228
Solving for y Divide both sides by − 0.8 to solve for y :
y = − 0.8 8.5228 = − 10.6535
Final Answer Therefore, the solution for y is − 10.6535 .
Since the problem asks to solve for x and there is no x in the equation, we assume it was a typo and the equation was meant to be solved for y .
Examples
When calculating the cost of items with discounts and taxes, you often need to solve linear equations similar to this one. For example, if you have a discount applied and then need to calculate the sales tax, you might use an equation to find the final price. Understanding how to solve for variables in these equations helps you manage your finances and make informed purchasing decisions. This is also applicable in budgeting, where you might need to determine how much you can spend on certain items while staying within your budget.
