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cheating53
09.02.2022 •
Mathematics
the lines whose equations are 7x-3y=1 and 6x+y=8 intersect at one point. What is the x-coordnate at that point
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Ответ:
x = 1
Step-by-step explanation:
Using the second equation to substitute for y in the first equation will eliminate the y-variable and give you an equation for the x-coordinate.
y = 8 -6x . . . . second equation solved for y
7x -3(8 -6x) = 1 . . . . substituted into the first equation
7x -24 +18x = 1 . . . . eliminate parentheses
25x = 25 . . . . . . . . add 24
x = 1 . . . . . . . . . . . . divide by the coefficient of x
The x-coordinate of the point of intersection is 1.
__
Additional comment
The y-coordinate can be found using our equation for y:
y = 8 -6(1)
y = 2
Ответ:
The number of blue marbles be 3.
Step-by-step explanation:
As given
A drawer has some red ,green and blue marbles.
There are 33 marbles .
there are 4 times as many red marbles as green marbles.
Let us assume that the number of green marbles be g .
Than Red marbles = 4g
There are half as many blue marbles as green marbles.
Than
Than the equation becomes
Than simplify the above
g = 6
Number of blue marbles = 3
Therefore the number of blue marbles be 3 .