Question

1. given the following equation, solve for y. 4y - x = 23 (5 points) 15) given an equation for the area of a triangle, a = 1/2bh, solve for the height.

Explanation:

Step1: Isolate the term with y

Add x to both sides of the equation \(4y - x=23\).
\(4y - x+x=23 + x\), which simplifies to \(4y=23 + x\).

Step2: Solve for y

Divide both sides of the equation \(4y=23 + x\) by 4.
\(y=\frac{23 + x}{4}\)

Step1: Isolate h in the area - formula

Given \(A=\frac{1}{2}bh\), first multiply both sides by 2 to get rid of the fraction.
\(2A = bh\).

Step2: Solve for h

Divide both sides of the equation \(2A = bh\) by b.
\(h=\frac{2A}{b}\)

Answer:

\(y=\frac{23 + x}{4}\)