Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for t. 49t - 90t + 37t + 91t - 65t = 88 t = submit next up done f…

Question

solve for t.
49t - 90t + 37t + 91t - 65t = 88
t =
submit
next up
done for now? try these next:
solve equations with variables on both sides
solve equations: mixed review
find missing angles in triangles using ratios
triangle angle - sum theorem
practice in the app

Explanation:

Step1: Combine like terms

$$\begin{align*} 49t-90t + 37t+91t-65t&=(49 - 90+37 + 91-65)t\\ &=(49+37+91-(90 + 65))t\\ &=(177 - 155)t\\ &=22t \end{align*}$$

The equation becomes $22t=88$.

Step2: Solve for $t$

Divide both sides of the equation $22t = 88$ by $22$: $t=\frac{88}{22}$.

Answer:

$4$