Solve the following systems by any method.
4x + 7y = 6
9x - 2y = 49
and
3x - y = 4
y = 2x -2
4x + 7y = 6
9x - 2y = 49
Let's choose to eliminate y.....we can do this by multiplying the first equation by 2 and the second by 7.....do you see why this might work, SMM???.....so we have
8x + 14y = 12
63x - 14y = 343 add these and notice that "y" disappears
71x = 355 divide both sides by 71
x = 5
Can you take it from here and find y ???
3x - y = 4
y = 2x -2 easier than the first one......we have an explicit expression for y......so....sub the second equation into the first for y and we have
3x - [ 2x - 2 ] = 4 simplify
3x - 2x + 2 = 4
x + 2 = 4
x = 2
Sub this into the second equation to find y