Review the graphs of a system of two linear equations in two variables: x−5y=7 and 3x−2y=−4 . Find the solution to both equations. (1 point) The intersection point is ().

Answer 1

To find the solution to the system of equations, we need to find the values of x and y that satisfy both equations.

The first equation is x - 5y = 7, which we can rewrite as x = 5y + 7.

Substituting this expression for x into the second equation, we get:

3(5y + 7) - 2y = -4
15y + 21 - 2y = -4
13y + 21 = -4
13y = -25
y = -25/13

Now, substitute this value of y back into the first equation to find x:

x = 5(-25/13) + 7
x = -125/13 + 7
x = -125/13 + 91/13
x = -34/13

So the solution to the system of equations is (x, y) = (-34/13, -25/13).

Answer 2

Review the graphs of a system of two linear equations in two variables: x−5y=7 and 3x−2y=−4 . Find the solution to both equations. (1 point) The intersection point is ().