Question

The Substitution Method - Solving Systems of Equations by Graphing:
y = 2x - 5
3y - x = 5

Answer 1

By substitution,
put 2x-5 in for y in the second equation:
3(2x-5) - x = 5
solve to get
6x-15-x=5
5x=20
x=4
back-substitute to find y:
y=2(4)-5
y=3
So the point of intersection (solution point) is (x,y)=(4,3).

Answer 2

Wow, Thanks!

Answer 3

To graph, the first equation has slope 2 and y-intercept -5,
the second has slope 1/3 and intercept 5.

Answer 4

y = 2x - 5
3y - x = 5
-> 3( 2x -5) -x = 5
-> 6x - 15 -x = 5
-> 5x = 20
=> x = 20/5 = 4
y = 2 * 4 - 5 = 3
Thus intersection (4, 3)