We have the equation of the line as follows:
y = 0.5x + 79
We want to calculate the melting point (the y value) of DNA with 50% gc content (the x value).
The gc content represents the value of x in the equation, so to calculate the melting point (y), we will simply substitute the x with 50 in the equation of the line as follows:
melting point = 0.5(50) + 79 = 25 + 79 = 104 degrees
Answer: 3
Step-by-step explanation:
Distribute the 5: 15x-5=40
Add 5 from both sides: 15x=45
Divide 15 by both sides: 3
8/28=4/14=2/7
2/7 is simplest form
Not 100% sure but hopefully this helps
Use pothomath that app is good
For math
Let's solve your system by substitution.
2
x
−
3
y
=
1
;
3
x
+
2
y
=
6
Step: Solve
2
x
−
3
y
=
1
for x:
2
x
−
3
y
=
1
2
x
−
3
y
+
3
y
=
1
+
3
y
(Add 3y to both sides)
2
x
=
3
y
+
1
2
x
2
=
3
y
+
1
2
(Divide both sides by 2)
x
=
3
2
y
+
1
2
Step: Substitute
3
2
y
+
1
2
for
x
in
3
x
+
2
y
=
6
:
3
x
+
2
y
=
6
3
(
3
2
y
+
1
2
)
+
2
y
=
6
13
2
y
+
3
2
=
6
(Simplify both sides of the equation)
13
2
y
+
3
2
+
−
3
2
=
6
+
−
3
2
(Add (-3)/2 to both sides)
13
2
y
=
9
2
13
2
y
13
2
=
9
2
13
2
(Divide both sides by 13/2)
y
=
9
13
Step: Substitute
9
13
for
y
in
x
=
3
2
y
+
1
2
:
x
=
3
2
y
+
1
2
x
=
3
2
(
9
13
)
+
1
2
x
=
20
13
(Simplify both sides of the equation)
Answer:
x
=
20
13
and
y
=
9
13
