Algebra: Linear Equations in Two Unknown
Given two linear equations, the two equations are solved simultaneously for x and y.
| Problem | Given Equations | Solution |
| 1 | 7x+5y = 38; 6x+3y = 30 | x = 4; y = 2 |
| 2 | 4x+7y = 18; 6x+9y = 24 | x = 1; y = 2 |
| 3 | x+8y = 29; 6x+8y = 94 | x = 13; y = 2 |
| 4 | 6x+4y = -26; 3x+7y = -68 | x = 3; y = -11 |
| 5 | 9x+y = 101; x+9y = 29 | x = 11; y = 2 |
| 6 | 3x+7y = 51; 2x+9y = 60 | x = 3; y = 6 |
| 7 | x+4y = 47; 7x+4y = 89 | x = 7; y = 10 |
| 8 | 3x-3y = -72; x+9y = 96 | x = -12; y = 12 |
| 9 | x+2y = 33; x+4y = 61 | x = 5; y = 14 |
| 10 | x+8y = 78; 8x+y = 120 | x = 14; y = 8 |
| 11 | 5x+2y = 57; 5x+4y = 79 | x = 7; y = 11 |
| 12 | x+y = 20; 9x+y = 108 | x = 11; y = 9 |
| 13 | 5x+7y = 102; 8x+6y = 132 | x = 12; y = 6 |
| 14 | 5x+7y = 133; 8x+9y = 193 | x = 14; y = 9 |
| 15 | 7x+3y = 43; 3x+y = 15 | x = 1; y = 12 |
| 16 | 4x+3y = 43; 9x+4y = 61 | x = 1; y = 13 |
| 17 | 9x+8y = 150; 4x+y = 59 | x = 14; y = 3 |
| 18 | 9x+2y = 19; 7x+6y = -43 | x = 5; y = -13 |
| 19 | 5x+y = 24; 4x+7y = 106 | x = 2; y = 14 |
| 20 | 5x+9y = 83; 8x+2y = 46 | x = 4; y = 7 |
| 21 | x+4y = -44; 2x+8y = -88 | x = 8; y = -13 |
| 22 | 9x+9y = 216; 5x+4y = 107 | x = 11; y = 13 |
| 23 | 6x+y = 74; 5x+8y = 76 | x = 12; y = 2 |
| 24 | 3x+9y = 72; 4x+4y = 64 | x = 12; y = 4 |
| 25 | 4x+7y = -65; 2x+4y = -38 | x = 3; y = -11 |
| 26 | 5x+y = 62; 2x+y = 32 | x = 10; y = 12 |
| 27 | 4x+y = 18; 3x+2y = 21 | x = 3; y = 6 |
| 28 | 8x+5y = 18; 9x+2y = -16 | x = -4; y = 10 |
| 29 | 9x+9y = 216; 9x+6y = 174 | x = 10; y = 14 |
| 30 | x+4y = 17; 8x+5y = 82 | x = 9; y = 2 |
| 31 | 5x+2y = 24; 8x+y = 34 | x = 4; y = 2 |
| 32 | 9x+7y = 166; x+y = 20 | x = 13; y = 7 |
| 33 | 3x+7y = 104; 5x+9y = 144 | x = 9; y = 11 |
| 34 | 7x+7y = 0; 8x+8y = 0 | x = 4; y = -4 |
| 35 | 4x+7y = 94; 2x+7y = 68 | x = 13; y = 6 |
| 36 | 7x+2y = 34; 2x+3y = 34 | x = 2; y = 10 |
| 37 | 8x+8y = 104; 9x+9y = 117 | x = 2; y = 11 |
| 38 | x+9y = 128; 3x+3y = 72 | x = 11; y = 13 |
| 39 | 5x+8y = 22; 7x-9y = -50 | x = -2; y = 4 |
| 40 | 9x+6y = 54; 6x+9y = -24 | x = 14; y = -12 |
| 41 | 5x+4y = 65; 3x+9y = 105 | x = 5; y = 10 |
| 42 | 2x+9y = 56; 6x+5y = 36 | x = 1; y = 6 |
| 43 | 7x+6y = 59; 6x+6y = 54 | x = 5; y = 4 |
| 44 | 8x+5y = 85; 2x+7y = 73 | x = 5; y = 9 |
| 45 | 3x+8y = 41; 3x+2y = 35 | x = 11; y = 1 |
| 46 | 7x+y = 71; 7x+2y = 72 | x = 10; y = 1 |
| 47 | 5x+9y = 79; 2x+y = 16 | x = 5; y = 6 |
| 48 | 9x+8y = -93; 6x+2y = -72 | x = -13; y = 3 |
| 49 | 9x+y = 85; x+4y = 25 | x = 9; y = 4 |
| 50 | 9x+6y = 156; 8x+8y = 152 | x = 14; y = 5 |
