Answer:
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.
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<em>Additional comment</em>
The y-coordinate can be found using our equation for y:
y = 8 -6(1)
y = 2
