What is the answer to this system of equations? 2x - 3y= 21 and -6x + 2y = 7.
1 answer:
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Answer:
Step-by-step explanation:
We are given two points, the y - intercept and the x - intercept.
The y - intercept being: ( 0, -7 )
The x - intercept being: ( 1, 0 )
The equation of a line in slope - intercept form is:
y = mx + b, where m is the slope and b is the y - intercept.
We already have the y - intercept. So far we have:
y = mx - 7
What we're missing is the slope.
To find the slope, we can use this formula:
, where
and
are the x - coordinates of both points and
and
are the y - coordinates of both points.
We now have the missing piece, the slope, so the equation now is:
Answer:
Step-by-step explanation:
We have been given two expressions and
Now we need to find out least common multiple of these two expressions.
First we need to find out what is common factor of both expressions. and
Least common multiple means find the expression which can be divided by both expressions.
15 and 6 both goes into 30
so 30 is part of LCM (least common multiple )
Now pickup the highest exponent of each variable.
So we get
Hence required least common multiple is
Answer:
1,2, and 4
Step-by-step explanation:
I attached a picture with the graph
y= -4 is a straight horizontal line (red line) and
y≤10 will give a horizontal line passing trough y=10 (blue line)
the solution is all points under and on the line y=10
1, 2, and 4 are part of the solution set
(the blue area is the solution of the system of equations)
