0
If this is:
8x - y = 20
-5x = y - 8
8x - y = 20
-5x - y = -8 multiply by -1in order to eliminate y;
8x - y = 20
5x + y = 8 add both equations;
13x = 28
x = 28/13 substitute the value of x into the one of the equations in order to find y. For example, substitute it into the first one;
8(28/13) - y = 20
224/13 - y = 20 multiply both sides with 13;
224 - 13y = 260
224 - 224 - 13y = 260 - 224
-13y = 36 multiply both sides by -1;
13 y = -36 divide both sides by 13;
y = -36/13
So the solution set is (28/13, -36/13)
Check:
8(28/13) -(-36/13)= 224/13 + 36/13 = 260/13 = 20
-5(28/13) = -36/13 - 8 ?
-140/13 = -36/13 -8 ?
-140/13 = -36/13 - 8(13/13) ?
-140/13 = -36/13 - 104/13 ?
-140/13 = -140/13
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