14 - 3y = 2
subtract 14 from both sides
-3y = -12
divide both sides by -3
y = 4
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yes plug it in 3y-2x=14 3(2)-2(-4)=14 6+8=14 14=14
x-2y=14 x+3y =9 subtract the equations x-2y = 14 -x-3y = -9 -5y = 5 divie both sides by -5 y = -1 substitute y = -1 into the first equation (or second) x -2(-1) = 14 x + 2 = 14 x = 12
-14 minus -2 is -12
1. 4x + 3y = -22. x - y = -4Multiplying 2. by 3 gives: (we have done this so that we end up with a -3y)3. 3x - 3y = -121. added to 3. gives: (now, by adding, the 3y & -3y will cancel out)4. 7x = -14 (the 4x + the 3x gives 7x, the y's cancel out, -2 + -12 gives -14)thus x = -14/7x = -2Substituting x = -2 into 1. gives(4 * -2) + 3y = -2-8 + 3y = -23y = -2 + 83y = 6y = 2Thus x = -2 and y = 2.
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