Question

Choose the system of equations that matches the following graph:

picture of coordinate plane with line y equals negative 5 halves x minus 7 and line y equals 7x minus 7. They intersect at 0, negative 7



A. 5x + 2y = −14
7x + y = 7
B. 5x + 2y = −14
7x − y = 7
C 5x − 2y = −14
7x + y = 7
D. 5x − 2y = −14
7x − y = 7

Answer 1

1) line y equals negative 5 halves x minus 7
y=-5(x/2)-7----- > 2y=-5x-14---> 5x+2y=-14

2) line y equals 7x minus 7 y=7x-7---------> 7x-y=7

3)They intersect at 0, negative 7
for x=0 5x+2y=-14------->2y=-14-->y=-7----ok
for x=0 7x-y=7-------------->-y=7----->y=-7-----ok

the answer is the B. 5x + 2y = −14 7x − y = 7