The given equation is ⇒⇒⇒ 2y - 4x = 6
∴ 2y = 4x + 6 ⇒ divide all the equation over 2
∴ y = 2x + 3 and it can be written as ⇒⇒⇒ y - 2x = 3
The last equation represents a straight line with a slope = 2 and y-intercept = 3
To construct a system of equations with definitely many solutions and the equation ( 2y-4x=6 ) is one of the equations, the other equation must have the same slope and the same y-intercept.
so, the general solution of the other equation is ⇒ a ( y - 2x ) = 3a
Where a is constant and belongs to R ( All real numbers )
The system of equations which has definitely many solutions is consisting of <u>Coincident lines.</u>
Answer:
30 = 2x + 3y
Step-by-step explanation:
x is the number of pens bought and y is the number of notbooks bought you graph this and you get a graph that shows you all the combinations.
Answer:
you save labor : 3562.50
Step-by-step explanation:
You want to calculate for labor.
labor = 3/5 (parts)
labor + parts = $9500 (total costs)
3/5 parts + parts =9500
3/5 parts + 5/5 parts = 9500
8/5 parts=9500
5/8(8/5 parts) = 5/8 (9500)
‘parts = 5937.50
labor=3562.50 (3/5 x 5937.50)
total = 9500
The answer
ellipse main equatin is as follow:
X²/ a² + Y²/ b² =1, where a≠0 and b≠0
for the first equation: <span>x = 3 cos t and y = 8 sin t
</span>we can write <span>x² = 3² cos² t and y² = 8² sin² t
and then </span>x² /3²= cos² t and y²/8² = sin² t
therefore, x² /3²+ y²/8² = cos² t + sin² t = 1
equivalent to x² /3²+ y²/8² = 1
for the second equation, <span>x = 3 cos 4t and y = 8 sin 4t we found
</span>x² /3²+ y²/8² = cos² 4t + sin² 4t=1
Answer:
y=3x+7
Step-by-step explanation:
cause bla bla bla and bing bong bang thats how
