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>
Y=mx+b
m=slope=rise/run
if slope>0, then it increases
if slope<0, then decreases because it is going down
y=7-2x
y=-2x+7
-2<0
decreasing
because the y values decrease from left to right
the x values always increase if you go from left to right
B is the answer
try c im sorry if im wrong i tried
Answer:
<u>202</u><u>5</u>
Step-by-step explanation:
3n² is our nth term
n=15
thus....
(3×15)²
= 45²=<u>202</u><u>5</u>
Hopefully this helped- have a great day)
We cannot get further information about the dimensions of the piece since the number of variables is greater than the number of equations.
<h3>What are the dimensions of a rectangular piece of metal?</h3>
By geometry we know that the area of the piece of metal is equal to the product of its length and width, then we must find two <em>real</em> numbers such that:
l · w = 27.75, where l, w > 0.
Unfortunately, we cannot get further information about the dimensions of the piece since the number of variables is greater than the number of equations. We need at least one equation to find an <em>unique</em> solution.
To learn more on rectangles: brainly.com/question/15019502
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