Answer:
No solution
Step-by-step explanation:
Step 1: Write out equations
y = -1/4x + 2
3y = -3/4x - 6
Step 2: Substitution
3(-1/4x + 2) = -3/4x - 6
Step 3: Distribute
-3/4x + 6 = -3/4x - 6
From here, we can see that we have the same slope but different y-intercept. This means that the 2 lines are parallel and therefore never intersect.
Alternatively, you could graph the equations and see that the 2 lines are parallel and never intersect.
Plug y as -1/4x + 2 in the second equation.
-3/4x + 3/4x = -6 -6
0 = -12
No solution.
-5h-3(10+h) = -6
-5h-30-3h = -6
Add/subtract like terms
-8h -30 = -6
Add 30 to both sides
-8h = 24
Divide by -8 to isolate h
h = -3
87
1/4