Question

2(x_2)+3(4x_1)=0 solve the equation and check your answer.​

Answer 1

To solve the equation 2(x2) + 3(4x1) = 0, distribute the coefficients and combine like terms. Then, solve the resulting linear equation by eliminating one variable. The solution shows that the equation holds true for any value of x1.

Step-by-step explanation:

To solve the equation 2(x2) + 3(4x1) = 0, we can start by simplifying the equation:

1. Distribute the coefficients: 2x2 + 12x1 = 0
2. Combine like terms: 2x2 + 12x1 = 0
3. Divide both sides by the common factor 2: x2 + 6x1 = 0
4. Now we have a linear equation with two variables. We can solve it in terms of one variable. Let's solve it for x1:

x2 = -6x1

Now we can substitute this value back into the original equation:

2(-6x1) + 3(4x1) = 0

-12x1 + 12x1 = 0

This simplifies to 0 = 0, which means the equation holds true for any value of x1.

Learn more about Solving linear equations