Question

what value of t is a solution to this equation? 10(t - 8) = -90 t = -1 t = 2

Explanation:

Step1: Solve the equation \(10(t - 8)=-90\)

First, divide both sides of the equation by 10: \(\frac{10(t - 8)}{10}=\frac{-90}{10}\), which simplifies to \(t - 8=-9\).

Step2: Solve for \(t\)

Add 8 to both sides of the equation: \(t-8 + 8=-9 + 8\), so \(t=-1\).

We can also check by substituting the values:

• For \(t = - 1\): Substitute into \(10(t - 8)\), we get \(10(-1-8)=10\times(-9)=-90\), which matches the right - hand side.
• For \(t = 2\): Substitute into \(10(t - 8)\), we get \(10(2 - 8)=10\times(-6)=-60

eq-90\).

Answer:

The value of \(t\) that is a solution to the equation is \(t=-1\).