Question

Solve the system of equations solve for x
y=6x+12
solve for y
y=x+47

Answer 1

To solve the system of equations xy = 6x + 12 and yy = x + 47, we can rearrange the equations, isolate one variable, and substitute it into the other equation. Then, solve for the variables. The solution is x = 282 / (270 - y) and y = (270 - xy) / 6.

Step-by-step explanation:

To solve the given system of equations,

xy = 6x + 12
yy = x + 47

We can start by rearranging the equations:

xy - 6x = 12
yy - x = 47

Next, we can isolate one variable in terms of the other variable and substitute it into the other equation:

x = (yy - 47)
xy - 6(yy - 47) = 12

Simplifying the equation:

xy - 6yy + 282 = 12

Combining like terms:

-6yy + xy = -270

Now, we can solve this equation for y in terms of x:

y = (270 - xy) / 6

Re-substituting the value of y back into one of the original equations:

(270 - xy) / 6 * x = 47

Simplifying and solving for x:

270x - xy = 282

x(270 - y) = 282

x = 282 / (270 - y)

So, the solution to the system of equations is:

x = 282 / (270 - y)
y = (270 - xy) / 6

Answer 2

The anwser is.. Slope = 12.000/2.000 = 6.000 x-intercept = 12/-6 = 2/-1 = -2.00000 y-intercept = 12/1 = 12.00000