Question

Simplify and solve the equation: 4(x) + 1 = 3(1) + 9.

a) x = 28
b) x = -9
c) x = 3
d) x = 4

Answer 1

To solve the equation 4(x) + 1 = 3(1) + 9, distribute 4 to x and simplify 3(1) + 9, which gives 12. Then isolate x by subtracting 1 from both sides, and divide both sides by 4. The solution is x = 11/4 or x = 2.75.

Step-by-step explanation:

To solve the equation 4(x) + 1 = 3(1) + 9, we can start by simplifying both sides of the equation. On the left side, we distribute the 4 to the x, which gives us 4x. On the right side, we simplify 3(1) to 3 and add it to 9, which gives us 12.

Now we have the equation 4x + 1 = 12. To solve for x, we need to isolate x. We can do this by subtracting 1 from both sides of the equation.

4x + 1 - 1 = 12 - 1

4x = 11

To get the value of x, we can divide both sides of the equation by 4.

4x/4 = 11/4

x = 11/4

So the solution to the equation is x = 11/4 or x = 2.75. Therefore, the correct answer is option d) x = 4.