Use the graph to answer the question review the graph of a system of two linear equations into variables x - 5y = 7 and 3x - 2y = -4 find the solution to both equations
To find the solution to the system of equations x - 5y = 7 and 3x - 2y = -4, we can use either substitution or elimination method.
Using substitution:
From the first equation, we can solve for x in terms of y:
x = 7 + 5y
Substitute this value of x into the second equation:
3(7 + 5y) - 2y = -4
21 + 15y - 2y = -4
13y = -25
y = -25/13
Now substitute the y value back into the first equation to find x:
x = 7 + 5(-25/13)
x = 7 - 125/13
x = 56/13
So, the solution to the system of equations is x = 56/13 and y = -25/13.