Two lines, A and B, are represented by equations given below: Line A: y = x − 4 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (−3, −5), because the point satisfies one of the equations (−3, −5), because the point lies between the two axes (−4, −8), because the point satisfies both equations (−4, −8), because the point does not lie on any axis
Answer:
The solution is (-4,-8)because the point satisfies both equations.
Step-by-step explanation:
Line A: y = x − 4
Line B: y = 3x + 4
Substitute the value of y from Line A in Line B
\(x-4=3x+4\)
\(-4-4=2x\)
\(-8=2x\)
\(-4=x\)
Substitute the value of x in Line B to get value of y
\(y=3x+4\)
\(y=3(-4)+4\)
\(y=-12+4\)
\(y=-8\)
Thus the solution is (-4,-8)because the point satisfies both equations.