Answer:
Step-by-step explanation:
The method of variable substitution is a way of solving a system of equations. It involves solving one equation for a variable and then substituting in the expression that represents the value of the solved variable into the other equation. After doing so, one can solve for the unknown variable and then backsolve for the other variable.
In this system, the second equation is already solved for (y), thus one can substitute that expression into the other equation in the system.
Now solve using inverse operations,
Backsolve to find the value of (y), substitute in the value of (x), and solve for the value of (y).
Substitute,
Solve,
Thus, the answer to this system of equations is the following, .
1st. x times 20+100
2nd. 100+20x
3rd. 100+x times20
4th. 20x+100
5th. x20+100
Answer: Choise A and Choise B.
Step-by-step explanation:
Given the following expression:
You can simplify it in order to find equivalent expressions.
Appying the Distributive Property, you get:
So:
1. If you add the like terms, you get this equivalent expression:
2. But if you factor out 3, you get the following equivalent expression:
Therefore, the expression shown in Choice A and Choise B are equivalents to the expression
<u>Answer:</u>
<h2>(4, 6)</h2>
<u>Explanation:</u>
x = -4 + (12 - (-4))/2
x = -4 + (12+4)/2
x = -4 + 16/2
x = -4 + 8
x = 4
y = 2 + (10 - 2)/2
y = 2 + 8/2
y = 2 + 4
y = 6
the coordinates of the center of the circle: (4, 6)