Answer
No Solutions.
See graph below.
Work Step by Step
Given the system of equations:
1. $2x + 5y = 9$
2. $-x + 3y = 1$
3. $7x - 2y = 14$
It asks to find all solutions and to graph.
Substitute $x = 3y - 1$ from equation 2 into equations 1 and 3
1. $2(3y - 1)+ 5y = 9$
$6y - 2 + 5y = 9$
$11y = 11$
$y = 1$
3. $7(3y - 1) - 2y = 14$
$21y - 7 - 2y = 14$
$19y = 21$
$y = 21/19$
Since y has two different solutions, then there are no solutions present. The lines do not intersect at one point
See graph below.
The red line is graph 1; the blue line is graph 2; the black line is graph 3.
