y = 1/2x – 6 x = –4 what is the solution to the system of equations? (–8, –4) (–4, –8) (–4, 4) (4, –4)
y = 1/2 (-4) - 6 = -2 - 6 = -8
Therefore, solution is (-4, -8)
Answer:
(-4,-8)
Step-by-step explanation:
Given :
\(y = \frac{1}{2} x -6\) ---(1)
\(x= -4\) ------(2)
Solution :
To find the solution of given system of equation we need to use the substitution method i.e. we need to substitute the value of x from equation (2) in equation (1).
⇒\(y=\frac{1}{2} *(-4)-6\)
⇒\(y=-2-6\)
⇒\(y= -8\)
Thus for x =-4 we get y = -8
Hence (-4,-8) is the solution to the given system of equations .