Answer:
The correct answer is multiply the first equation by -2.
Step-by-step explanation:
The reason for this is then you'd be left with the following two equations.
-6x - y = -6
6x - y = 2
If you add these two together you would cancel out the x terms.
Answer:
[tex]x = \frac{2}{3}, y = 2[/tex]
Step-by-step explanation:
We are b:
[tex]3x + \frac{y}{2} = 3\\6x - y = 2[/tex]
We need to eliminate x from the above two equations so that we can find the value of y and then the value of x.
In order to eliminate x we multiply first equation by -2 and add both the equations to solve for y.
This can be shown as:
[tex](3x + \frac{y}{2} = 3)\times (-2) = -6x - y = -6\\6x - y = 2[/tex]
Now we add these two equations
[tex](-6x - y) + (6x -y) = (-6) + (2)\\-2y = -4\\\Rightarrow y = 2[/tex]
Now putting value of y in equation, we get
[tex]6x -2 = 2\\6x = 4\\\Rightarrow x = \frac{2}{3}[/tex]
Now, we have to multiply the first equation by -6
[tex](3x + \frac{y}{2} = 3)\times -6\\ -18x - 3y = -18[/tex]
