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Substitute 4x-6 from the firt equation into the second.
distribute the 3
add 3x to both sides
add 18 to both sides
divid both sides by 15
reduce
plug x = 5/3 back into the first equation
change 6 to 18/3 (common denom)
subtract
solution : (5/3, 2/3)
now by elimination:
and
we will deal with the first equation
solve for the form Ax+By=C
subtract 4x from both sides
multiply by -1 to make the x value positive
now solve the second equation so that it is in the same form
add 3x to both sides
now lets look at both equations stacked on ontop of the other.
4x - 1y = 6
3x + 3y = 7
if we multiply all parts of the first equation by three we get ...
12x - 3y = 18
3x + 3y = 7
looking at the y values .. they will cancel when we add the two equations and get ...
15x + 0y = 25 the y is gone now ...
15x = 25 divide both sides by 15
x = 25/15 or 5/3
substitute this back into ANY of the equations to find y
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