To find the solution to both equations, we need to solve the system of equations.
Let's begin by solving the first equation, x - 5y = 7, for x.
x = 5y + 7
Now, substitute this expression for x into the second equation, 3x - 2y = -4.
3(5y + 7) - 2y = -4
15y + 21 - 2y = -4
13y = -4 - 21
13y = -25
y = -25/13
Now, substitute this value of y back into the first equation to solve for x.
x = 5(-25/13) + 7
x = -125/13 + 91/13
x = -34/13
Therefore, the solution to the system of equations is (x, y) = (-34/13, -25/13).
The intersection point of the graphs of the equations represents this solution.
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
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