Final answer:
To find the value of x in the system of equations -2.4x - 3.6y = 1.2 and 2.4x + 1.2y = 1.2, we can use the method of elimination. By multiplying the equations to eliminate x and solving, we find that x = -0.5.
Step-by-step explanation:
To find the value of x in the system of equations -2.4x - 3.6y = 1.2 and 2.4x + 1.2y = 1.2, we can use the method of elimination. We can multiply each equation by a suitable number to make the coefficients of x in both equations equal. In this case, we can multiply the first equation by -1 and the second equation by 1, which will eliminate x. Adding the two resulting equations gives:
-2.4x - 3.6y + 2.4x + 1.2y = 1.2 - 1.2
-2.4y = 0
Dividing both sides of the equation by -2.4, we find that y = 0.
Since y = 0, we can substitute this value into either of the original equations to solve for x. Substituting y = 0 into the first equation, we get:
-2.4x - 3.6(0) = 1.2
-2.4x = 1.2
Dividing both sides of the equation by -2.4, we find that x = -0.5.
Therefore, the value of x in the system of equations is -0.5.