Answer:
x=−6 and y=7
Step-by-step explanation:
Step: Solve8x+5y=−13for x:
8x+5y=−13
8x+5y+−5y=−13+−5y(Add -5y to both sides)
8x=−5y−13
8x
8
=
−5y−13
8
(Divide both sides by 8)
x=
−5
8
y+
−13
8
Step: Substitute
−5
8
y+
−13
8
forxin3x+4y=10:
3x+4y=10
3(
−5
8
y+
−13
8
)+4y=10
17
8
y+
−39
8
=10(Simplify both sides of the equation)
17
8
y+
−39
8
+
39
8
=10+
39
8
(Add 39/8 to both sides)
17
8
y=
119
8
17
8
y
17
8
=
119
8
17
8
(Divide both sides by 17/8)
y=7
Step: Substitute7foryinx=
−5
8
y+
−13
8
:
x=
−5
8
y+
−13
8
x=
−5
8
(7)+
−13
8
x=−6(Simplify both sides of the equation)Step: Solve8x+5y=−13for x:
8x+5y=−13
8x+5y+−5y=−13+−5y(Add -5y to both sides)
8x=−5y−13
8x
8
=
−5y−13
8
(Divide both sides by 8)
x=
−5
8
y+
−13
8
Step: Substitute
−5
8
y+
−13
8
forxin3x+4y=10:
3x+4y=10
3(
−5
8
y+
−13
8
)+4y=10
17
8
y+
−39
8
=10(Simplify both sides of the equation)
17
8
y+
−39
8
+
39
8
=10+
39
8
(Add 39/8 to both sides)
17
8
y=
119
8
17
8
y
17
8
=
119
8
17
8
(Divide both sides by 17/8)
y=7
Step: Substitute7foryinx=
−5
8
y+
−13
8
:
x=
−5
8
y+
−13
8
x=
−5
8
(7)+
−13
8
x=−6(Simplify both sides of the equation)
Answer:
D
Step-by-step explanation:
6+13 = 19 not 19.
In this case X=5 so No it isn't solution.
Step-by-step explanation:
Objective: Solving Piecewise Functions
Analyze the info in the graph.
We know that if x=1, the graph will coincide at 5.
If x is greater than 1, the answer will be x squared it answer so any positve interger greater than 1 the answer is that squared.
If x is less than 1, the answer will be double that x.
Let check the answer choices.
A is wrong because x is less than 1 so the answer should be 2(-2)=-4 not 4.
C is Wrong, since 5 is greater than 1, it must be 25 so 5^2=25
D and B are both right, 2 is greater than 1 so 2 squared =4 and Whenever x=1, it will equal 5.
Answer:
10,000
Step-by-step explanation:
Down by 3,000
Year 5 it'd be 13,000
Year 6 it'd be 10,000
14% of $15,500 is $2,170. $15,500 minus $2,170 is $13,330.
When the car is on sale, the price is reduced from $15,500 to $13,330.