Question

What is the solution to the equation y-2=(1)/(2)(x+3) ?

Answer 1

To solve the equation y-2=(1)/(2)(x+3), distribute the (1)/(2) to both terms inside the parentheses and simplify. Then, isolate y by adding 2 to both sides. The solution to the equation is y=(1)/(2)x+(7)/(2).

Step-by-step explanation:

To solve the equation y-2=(1)/(2)(x+3), we can start by distributing the (1)/(2) to both terms inside the parentheses:

y-2=(1)/(2)x+(1)/(2)3

Now, simplify the right side of the equation:

y-2=(1)/(2)x+(1)/(2)3

y-2=(1)/(2)x+(3)/(2)

To isolate y, we can add 2 to both sides of the equation:

y-2+2=(1)/(2)x+(3)/(2)+2

y=(1)/(2)x+(3)/(2)+2

Simplifying further:

y=(1)/(2)x+(7)/(2)

Therefore, the solution to the equation is y=(1)/(2)x+(7)/(2).