Calculate y in y=4(2-6x) Given x=2: Expression Evaluation

Question

Calculate y given that x=2 x=2 and y=4(26x) y=4(2-6x) .

Video Solution

Step-by-Step Solution

To solve for y y , we will proceed with these steps:

  • Step 1: Substitute the given value x=2 x = 2 into the equation y=4(26x) y = 4(2 - 6x) .
  • Step 2: Simplify the expression inside the parentheses.
  • Step 3: Perform the arithmetic operations to find y y .

Now, let's work through the steps:

Step 1: Substitute x=2 x = 2 into the equation:
y=4(26×2) y = 4(2 - 6 \times 2)

Step 2: Simplify the expression within the parentheses:
26×2=212=10 2 - 6 \times 2 = 2 - 12 = -10

Step 3: Calculate the value of y y by multiplying by 4:
y=4×(10)=40 y = 4 \times (-10) = -40

Therefore, the value of y y is 40-40.

This solution corresponds to the choice:

Choice 3: 40-40

Answer

40 -40