a. One solution
To find the point where these two lines intersect, we can set Y equal to each other:
-13x - 4 = 3x + 6
Combine the x terms:
-16x - 4 = 6
Add 4 to both sides:
-16x = 10
Divide by -16:
x = -10/16
x = -5/8
Now, plug this value back into either equation to find the value of y:
y = 3(-5/8) + 6
y = -15/8 + 6
y = -15/8 + 48/8
y = 33/8
So, the point of intersection is (-5/8, 33/8) which means there is one solution.
Y=-13x-4
Y=3x+6 a. One solution b. Infinite
1 answer