To find the value of x in the equation 8x + 2y = 48 when y = 4, we start by substituting the value of y into the equation.
1. Substitute y in the equation:
- Original Equation: 8x + 2y = 48
- Substituted Equation: 8x + 2(4) = 48
2. Now, simplify the equation:
- Calculate 2(4): that’s 8.
- So, you update the equation to 8x + 8 = 48.
3. Next, isolate the term containing x:
- Subtract 8 from both sides:
- 8x + 8 – 8 = 48 – 8
- This simplifies to 8x = 40.
4. Finally, solve for x:
- Divide both sides by 8:
- x = 40 / 8
- So, x = 5.
In conclusion, the value of x in the equation 8x + 2y = 48 when y = 4 is 5.