Our system of equations is:
y = -3x + 9
y = -x - 5
To solve this system of equations, we are going to use substitution. This means that we are going to substitute the second equation into the first equation since both are already solved for y in terms of x.
y = -3x + 9
-x - 5 = -3x + 9
Now, we must simplify by moving all of the constant terms to one side of the equation and all of the variable terms to the other side.
-x - 5 = -3x + 9
2x - 5 = 9
2x = 14
Finally, to undo the multiplication between the coefficient 2 and the variable x, we must divide both sides by 2 to get the variable x alone.
x = 7
Next, we must substitute in this value we have solved for x into one of the original equations to solve for the other variable, y.
y = -3x + 9
y = -3(7) + 9
To simplify, we must multiply through the parentheses and combine like terms by addition.
y = -21 + 9
y = -12
Therefore, your final answer is x = 7 and y = -12, or as an ordered pair (7, -12).
Hope this helps!
Answer:
x = -2 and y = 0
Explanation:
You just put the value of one variable in terms of the other in one of the two equations. Then, solve it and BOOM you'll have your solution.
x + y = -2 ........... (a)
y = x + 2 ............ (b)
Put (b) in (a),
x + (x + 2) = -2
2x = -4 => x = -2
Put x = -2 in (b),
y = x + 2 = -2+2 = 0
Thus, x=-2 and y=0
1- If the balance is less than a specified amount that is a MINIMUM BALANCE FEE.
2- It would be discussing the ATM FEE.
Hope this helped.
<h3>
Answer: 75.36 square feet</h3>
Your teacher may want you to type the number only.
==========================================================
Work Shown:
SA = surface area of a cylinder
SA = 2*pi*r^2 + 2*pi*r*h
SA = 2*3.14*2^2 + 2*3.14*2*4
SA = 75.36
The surface area is roughly 75.36 square feet.
Answer:
Height = 8
Base = 14
Step-by-step explanation:
Base=x+6
Height=x
Area of a triangle is 1/2bh.
1/2·x·(x+6)=56
x²+6x=112
x²+6x-112=0
(x+14)(x-8)=0
x=-14 or x=8
Since x can’t equal a negative number, it must be 8.
Height=x = 8
Base=x+6 = 8+6 = 14
