Answer:
Graph C
Explanation:
Thinking process:
The are two ways to solve the system:
1. the substitution method:
for equation (1) y = 1/2x + 3
when x = 0, y = 3
when y = 0, x = -6
for equation (2) y = 3/2x - 1
when x= 0; y = -1
when y = 0; x = 2/3
this gives line C
2. another way to solve the simultaneous equations:
y = 1/2x + 3 ...1
y = 3/2x - 1 ...2
substuting (1) into (2)
3/2x - 1 = 1/2x + 3
x = 4
substituting x = 4 into (1):
y = 1/2x + 3
y = 1/2(4)+ 3
= 5
the point of intersection will be (4 , 5) which is line c
Either method works.