The step that is the part of the process of algebraically solving the given system of equations is (C) 4x – 10 = x2 – 5x + 10 and (E) 0 = x2 – 9x + 20.
<h3>
What is an equation?</h3>
- An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.
To find the step that is the part of the process of algebraically solving the given system of equations:
That would be:
(C) 4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substituted for y).
Proof:
- y + 5x = x² + 10
- (4x - 10) + 5x = x² + 10
- 4x - 10 = x² -5x + 10
(E) 0 = x2 – 9x + 20 (liked terms are grouped and simplified).
Proof:
- 4x - 10 = x² -5x + 10
- 4x = x² -5x + 10 + 10
- 0 = x² -5x -4x + 20
- 0 = x² - 9x + 20
Solving:
- x² - 9x + 20 = 0
- x² - 5x - 4x + 20 = 0
- (x - 5) (x - 4) = 0
- x = 4 (as question says) OR x = 5
Therefore, the step that is part of the process of algebraically solving the given system of equations is (C) 4x – 10 = x2 – 5x + 10.
Know more about equations here:
brainly.com/question/13763238
#SPJ4
The complete question is given below:
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Check all that apply.
(A) y = x2 + 5x + 10
(B) y + 5x = x2 + 10 + 4x – 10
(C) 4x – 10 = x2 – 5x + 10
(D) 0 = x2 – 9x
(E) 0 = x2 – 9x + 20
(F) One x-value of a solution to the system is 4.
Answer:
D. empty set
Step-by-step explanation:
Each of the operations X-Y and Y-X removes elements that are common to X and Y. The resulting two sets have no elements in common, so their intersection is the empty set.
_____
X -Y = {2, 5, 6}
Y -X = {3, 7, 8}
{2, 5, 6} ∩ {3, 7, 8} = { }
First to figure out the problem you need to distribute the 3 and the 4. You get, 3x-3-8=4+4x+5. Now you need to combine the coefficients. After doing this you will have 3x-11=9+4x. Now to get x by itself you need to subtract 3x from both sides. You will have -11=9+x. Then you subtract 9 from both sides and you end up with x=-20
3(x-1)-8=4(1+x)+5
3x-3-8= 4+4x+5
3x-11=9+4x
-3x -3x
-11=9+x
-9 -9
-20=x
Answer:
AAS
Step-by-step explanation: