Answer:
x = 4/3
y = 1/3
Step-by-step explanation:
System of equations! This is set up really well to make the second equation equal x then substitute.
x - y = 1
x = 1 + y
and then our substitution:
2 (1+y) + y = 3
and solve:
2 + 2y + y = 3
3y + 2 = 3
3y = 1
y = 1/3
And now we can substitute that value into one of our equations:
x - (1/3) = 1
x = 4/3
Next we should check by substituting these values into both of our equations:
2 (4/3) + (1/3) = 3
9 / 3 does equal 3 !
(4/3) - (1/3) does equal 1 !
Therefore, x = 4/3 , and y = 1/3
24 + 3x = 3x + 3(7 - 1)
Eliminate the parentheses: 24 + 3x = 3x + 3(6)
24 + 3x = 3x + 18
Subtract 3x from each side: <em>24 = 18</em>
Look at that for a second. Can ANY value of 'x' make 24 equal to 18 ?
I don't think so.
There's NO number that makes the equation a true statement.
That's just another way to say: "The equation has NO solution."
Answer: The correct option is (C). an exterior angle.
Step-by-step explanation: We are to select the name of the new angle that is created by extending one side of a triangle.
Let ABC be a triangle as shown in the attached figure.
∠ABC, ∠ACB and ∠BAC are three interior angles of the triangle ABC.
Let us extend the side BC towards C to point D. The newly created angle is ∠ACD.
∠ACD is called the exterior angle of ΔABC.
Therefore, the newly created angle is an exterior angle.
Thus, option (C) is correct.
It wont let me see the pic sorry
try again
The slope of Line B is -1/5