Find the solution for y= -1/2 x - 6and y= 7/6 x + 4

Answer 1

To find the solution for this system of equations, we can set the two equations equal to each other and solve for x:

-1/2 x - 6 = 7/6 x + 4

First, let's multiply each term by 6 to eliminate the fractions:

-3x - 36 = 7x + 24

Next, let's combine like terms:

-3x - 7x = 24 + 36

-10x = 60

Divide both sides by -10:

x = -6

Now that we have found the value of x, we can substitute it back into either of the original equations to find the value of y. Let's use the first equation:

y = -1/2 (-6) - 6
y = 3 - 6
y = -3

Therefore, the solution to the system of equations is x = -6 and y = -3.