Answer:
{x,y} = {89/37,-71/37}
Step-by-step explanation:
8x = 3y + 25
[2] x = 3y/8 + 25/8
Plug this in for variable x in equation [1]
[1] 6•(3y/8+25/8) + 7y = 1
[1] 37y/4 = -71/4
[1] 37y = -71
Solve equation [1] for the variable y
[1] 37y = - 71
[1] y = - 71/37
By now we know this much :
x = 3y/8+25/8
y = -71/37
Use the y value to solve for x
x = (3/8)(-71/37)+25/8 = 89/37
Answer:
10a + 2b
Step-by-step explanation:
Add the lengths of all sides:
3a + b + b + 2a - b + 3a + b + b + 2a - b
Now combine like terms:
10a + 2b
Answer:
The error is at step (3) .
The correct step (3) will be,

=
[by using the laws of indices]
All other steps are correct.
Step-by-step explanation:
The error is at the step (3) , because the student has tried to prove the quotient rule of logarithms by using the property i.e., 'The quotient rule of logarithm' itself , i.e. ,by assuming the property does hold before proving it. So, the proof is fallacious.
The correct step (3) will be,

=
[by using the laws of indices]
All other steps are correct.
Answer:The object will hit the ground after 5 seconds
Step-by-step explanation:
Given height of tower =80 ft
h=-16
+64t+80
When the object will hit the ground its height=0
0=-16
+64t+80
Multiplying both sides by -1
16t²-64t-80=0
Dividing by 16 both sides
t²-4t-5=0
(t-5)(t+1)=0
t=5 or -1
So t=5 since time cannot be negative
The object will fall after 5 seconds