2. Solve 2/3 =(x+5)/3
A. x = –3
B. x = 3
C. x = 2/3
D. No answer shown
To solve the equation 2/3 = (x+5)/3, we want to isolate the variable x. Here's how to do it:
Step 1: Cross-multiply both sides of the equation. Multiply the numerator of the left side (2) by the denominator of the right side (3), and multiply the numerator of the right side (x+5) by the denominator of the left side (3). This gives us:
2 * 3 = (x + 5) * 3
Step 2: Simplify both sides of the equation. On the left side, 2 * 3 equals 6. On the right side, we distribute the 3 to both terms within the parentheses:
6 = 3x + 15
Step 3: Subtract 15 from both sides of the equation to isolate the variable x:
6 - 15 = 3x + 15 - 15
-9 = 3x
Step 4: Divide both sides of the equation by 3 to solve for x:
-9/3 = 3x/3
-3 = x
So the solution to the equation 2/3 = (x+5)/3 is x = -3. Therefore, the answer is A. x = -3.