Answer: 2 numbers are 19 and 39
Step-by-step explanation:
<em>y = x + 20</em>
Equation: x + y + 20 = 78
⇔ x + y = 78 - 20
⇔ x + y = 58
⇔ y = 58 - x
So, we have:
x + 20 = 58 - x ( = y)
⇔ x + x = 58 - 20
⇔ 2x = 38
⇔ x = 19
⇒ y = x + 20 = 19 + 20 = 39
Answer: It is consistent as the lines are intersecting lines and it has a unique solution
Step-by-step explanation:
Since we have given two systems of equation :
We need to check whether the system of equations is consistent or inconsistent.
As we know the formula for checking the consistency :
In the first equation, we have
similarly,
In the second equation, we have
So, According to the question, we have
Therfore , it is consistent as the lines are intersecting lines and it has a unique solution.
Answer:
ΔABC ~ ΔEFD
Step-by-step explanation:
ΔABC ~ ΔEFDc
<span>A-4
Substitute 16 for a
16-4
Subtract
Final Answer: 12</span>