Question

Enter the ordered pair that is the solution to the system of equations graphed below.

y=3/5x-1
y=x-3

Answer 1

x = 5/2

y = -1/2

Explanation:

if both equations start with 'y=' then set the expressions equal to each other

3/5x - 1 = x - 3

add 1 to each side to get:

3/5x = x - 1

subtract 5/5x from each side:

3/5x - 5/5x = -1

-2/5x = -1

multiply each side by -5/2:

x = 5/2

y = 2 1/2 - 3

y = -1/2