Problem 45
Question
Solve the equation. $$ 7 y=9 y-8 $$
Step-by-Step Solution
Verified Answer
The solution of the equation \(7y = 9y - 8\) is \(y = 4\).
1Step 1: Rearrange the equation
To begin, collect all the terms with \(y\) on one side and the constant on the other. To do this, subtract \(7y\) from both sides. We get \(9y - 7y = 8\). This simplifies to \(2y = 8\).
2Step 2: Solve for y
Now that we have \(2y = 8\), we can further isolate \(y\) by dividing both sides by 2. This yields \(y = 8 / 2\).
3Step 3: Simplify the result
After performing the division in the previous step, we obtain \(y = 4\).
Other exercises in this chapter
Problem 44
Solve the equation. $$ 5 x-7+x=19 $$
View solution Problem 45
Write in slope-intercept form the equation of line that passes through the given points. \(m=-2, b=3\)
View solution Problem 46
Write in slope-intercept form the equation of line that passes through the given points. \(m=\frac{1}{2}, b=0\)
View solution Problem 46
Do the three points \((12,0),(0,16),\) and \((12,25)\) form the vertices of a right triangle? Explain your answer.
View solution