solve.

y=-1/2x+6
y=3x - 1

1 answer

To solve this system of equations, we can set the two equations equal to each other since they both equal y:

-1/2x + 6 = 3x - 1

Next, let's simplify the equation:

-1/2x - 3x = -1 - 6

-7/2x = -7

Next, let's solve for x by multiplying both sides of the equation by 2/7:

x = (-7)(2/7)

x = -2

Now, substitute the value of x back into one of the original equations to solve for y:

y = 3(-2) - 1

y = -6 - 1

y = -7

Therefore, the solution to the system of equations is x = -2 and y = -7.