The solution of the given equations is: (-1.5, 1.5)
Step-by-step explanation:
Linear equation usually represents a straight line. When a system of two liner equations is given, the point of intersection of lines represented by both equations is the solution of the system of equations.
We will plot the lines of both equations and find their point of intersection (Picture Attached)
We can see in the picture that two lines intersect at (-1.5, 1.5)
Hence,
The solution of the given equations is: (-1.5, 1.5)
Keywords: Linear equations, variables
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Answer:
Explanation:
The statement is expressed as
y
∝
1
x
inverse means
1
variable
To convert to an equation introduce k, the constant of variation.
y
=
k
×
1
x
⇒
y
=
k
x
To find k use the given condition that y = 8 when x = 4
8
=
k
4
⇒
k
=
4
×
8
=
32
⇒
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
32
x
2
2
∣
∣
∣
−−−−−−−−−−−−
x
=
16
→
y
=
32
16
⇒
y
=
2
when
x
=
16
Answer:
What are the equations and anwsers?
Answer:
I agree with the student's answer. "x" cannot be -2 because then it would make -20 which is not equal to 20:
5(-2)(2) = ?
-10 x 2 = ?
? = -20
-20 ≠ 20
Step-by-step explanation:
Justificaiton:
5(x)(2) = 20
10(x) = 20
10/10(x) = 20/10
x = 2
Second Justification:
5(x)(2) = 20
5/5(x)(2) = 20/5
2x = 4
2x/2 = 4/2
x = 2
1/4 x 1/4 x 1/4 = 1/64
There is a 1/64 chance that they will all be hearts.
