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 | 6x+2y = 68; 9x+8y = 62 | x = 14; y = -8 |
| 2 | 2x-4y = -38; 9x+4y = 93 | x = 5; y = 12 |
| 3 | 2x+3y = 60; 9x+3y = 144 | x = 12; y = 12 |
| 4 | 9x+3y = 72; x+8y = 77 | x = 5; y = 9 |
| 5 | 8x+y = 43; 7x+5y = 83 | x = 4; y = 11 |
| 6 | 3x+8y = 95; 9x+3y = 138 | x = 13; y = 7 |
| 7 | 6x+6y = 18; 4x+3y = 11 | x = 2; y = 1 |
| 8 | 4x+5y = 84; x+9y = 83 | x = 11; y = 8 |
| 9 | 6x+y = 38; x+8y = 22 | x = 6; y = 2 |
| 10 | 3x+3y = -18; 4x+8y = -60 | x = 3; y = -9 |
| 11 | 7x+5y = 47; 4x+7y = 31 | x = 6; y = 1 |
| 12 | 8x+7y = 154; 3x+9y = 96 | x = 14; y = 6 |
| 13 | 4x+3y = 70; 7x+8y = 161 | x = 7; y = 14 |
| 14 | 6x+y = 63; 5x+6y = 99 | x = 9; y = 9 |
| 15 | 3x+2y = 61; 2x+2y = 50 | x = 11; y = 14 |
| 16 | 7x+4y = 90; 6x+7y = 120 | x = 6; y = 12 |
| 17 | 2x+5y = 84; 7x+2y = 77 | x = 7; y = 14 |
| 18 | 5x+8y = 23; 8x+5y = -10 | x = -5; y = 6 |
| 19 | 6x+5y = 102; 8x+y = 102 | x = 12; y = 6 |
| 20 | x+9y = 20; 2x+7y = 18 | x = 2; y = 2 |
| 21 | 6x+2y = 54; 6x+7y = 99 | x = 6; y = 9 |
| 22 | 5x-8y = -107; x+y = 15 | x = 1; y = 14 |
| 23 | x+8y = 60; 8x+y = 39 | x = 4; y = 7 |
| 24 | 9x+5y = 68; 8x+3y = 46 | x = 2; y = 10 |
| 25 | 3x+y = 25; 5x+8y = 10 | x = 10; y = -5 |
| 26 | 6x+3y = -9; x+7y = -47 | x = 2; y = -7 |
| 27 | 5x+2y = 57; 5x+3y = 68 | x = 7; y = 11 |
| 28 | 2x+7y = 36; 4x+y = 20 | x = 4; y = 4 |
| 29 | 2x+y = 24; 8x+4y = 96 | x = 8; y = 8 |
| 30 | 8x+8y = 176; 5x+y = 70 | x = 12; y = 10 |
| 31 | 9x+4y = 10; 6x+5y = -19 | x = 6; y = -11 |
| 32 | 3x-3y = 33; 5x+6y = 88 | x = 14; y = 3 |
| 33 | 8x+3y = 126; 9x+5y = 158 | x = 12; y = 10 |
| 34 | 2x+6y = 48; 4x+y = 30 | x = 6; y = 6 |
| 35 | 9x+6y = 195; 8x+8y = 208 | x = 13; y = 13 |
| 36 | 3x+8y = 96; 9x+6y = 126 | x = 8; y = 9 |
| 37 | 7x+6y = 49; 7x+4y = 35 | x = 1; y = 7 |
| 38 | 2x+7y = 25; 6x+8y = 36 | x = 2; y = 3 |
| 39 | 9x+9y = 162; 3x+9y = 114 | x = 8; y = 10 |
| 40 | 2x+3y = -19; 7x+9y = -50 | x = 7; y = -11 |
| 41 | 7x+2y = 33; x+6y = 39 | x = 3; y = 6 |
| 42 | 7x+5y = 129; x+8y = 84 | x = 12; y = 9 |
| 43 | 5x+8y = 153; 6x+6y = 144 | x = 13; y = 11 |
| 44 | 2x+9y = 91; 6x+6y = 126 | x = 14; y = 7 |
| 45 | x+8y = 106; 5x+2y = 36 | x = 2; y = 13 |
| 46 | x+4y = 25; 9x+6y = 75 | x = 5; y = 5 |
| 47 | 5x+8y = 174; 6x+5y = 149 | x = 14; y = 13 |
| 48 | 7x+3y = -29; 8x+y = -38 | x = -5; y = 2 |
| 49 | 9x+y = 63; 9x+9y = 135 | x = 6; y = 9 |
| 50 | 3x+5y = 81; 8x+9y = 164 | x = 7; y = 12 |
