Answer:
Therefore has one solution.
explanation:
Given equations:
6x + y = -7
-24x -7y = 25
Make y the subject:
6x + y = -7
y = -7 - 6x ..............equation 1
-24x -7y = 25
-7y = 25 + 24x
y = (25 + 24x)/-7 ..........equation 2
Solve them simultaneously:
(25 + 24x)/-7 = -7 - 6x
25 + 24x = -7 (-7 - 6x)
25 + 24x = 49 + 42x
42x - 24x = 25- 42
18x = -24
x = [tex]-\frac{4}{3}[/tex]
Then y is:
y = -7 - 6x
y = -7 - 6( [tex]-\frac{4}{3}[/tex])
y = 1
Has one separate value of x and y: ( [tex]-\frac{4}{3}[/tex] , 1 ); so it has one solution.
