What is the solution to the following system of equations 3x-2y=12 6x-4y=24
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Answer:
The value of y is 4
The equation of line is y = x + 7 .
Step-by-step explanation:
Given as :
The points are
(,
) = (- 3, y)
(,
) = (- 9, -2)
The slope = m = 1
Now,<u> The slope is calculated in points form</u>
So, Slope =
I.e m =
or, 1 =
or, 1 =
or, 1 × (-6) = - 2 - y
or, - 6 = - 2- y
or, y = - 2 + 6
∴ y = 4
So, The new points as
(,
) = (- 3, 4 )
(,
) = (- 9, -2)
<u>So, the equation of line in slope - point form can be written as</u>
y - = m ( x -
)
i.e y - 4 = ( 1 ) × ( x - (-3) )
or, y - 4 = x + 3
∴ y = x + 3 + 4
Or, y = x + 7
So, The equation of line is y = x + 7
Hence The value of y is 4
And The equation of line is y = x + 7 . Answer