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 | x+5y = 56; 4x+7y = 94 | x = 6; y = 10 |
| 2 | 5x+3y = 25; 6x+8y = 52 | x = 2; y = 5 |
| 3 | 6x+4y = 84; 6x+7y = 102 | x = 10; y = 6 |
| 4 | 7x-8y = -14; 5x+6y = 154 | x = 14; y = 14 |
| 5 | 4x+5y = 108; x+5y = 72 | x = 12; y = 12 |
| 6 | 4x+y = 53; 2x+2y = 46 | x = 10; y = 13 |
| 7 | x+4y = 54; 4x+3y = 60 | x = 6; y = 12 |
| 8 | 3x+y = 29; 2x+3y = 38 | x = 7; y = 8 |
| 9 | 3x+2y = 29; 7x+3y = 76 | x = 13; y = -5 |
| 10 | 4x+6y = 140; 9x+8y = 238 | x = 14; y = 14 |
| 11 | 9x+4y = 62; x+6y = 68 | x = 2; y = 11 |
| 12 | 8x+8y = 144; 3x+7y = 74 | x = 13; y = 5 |
| 13 | 8x+8y = -56; 7x+4y = -16 | x = 4; y = -11 |
| 14 | 7x+6y = 176; 6x+7y = 175 | x = 14; y = 13 |
| 15 | 9x+8y = -59; 4x+6y = -14 | x = -11; y = 5 |
| 16 | 2x+8y = 100; 7x+2y = 38 | x = 2; y = 12 |
| 17 | 9x-3y = 96; 7x+4y = 100 | x = 12; y = 4 |
| 18 | 8x+4y = 52; x+4y = 10 | x = 6; y = 1 |
| 19 | 2x+3y = 48; 9x+8y = 161 | x = 9; y = 10 |
| 20 | 2x+5y = 57; 3x+6y = 69 | x = 1; y = 11 |
| 21 | 6x+3y = 90; 2x+5y = 62 | x = 11; y = 8 |
| 22 | 3x+2y = 45; x+4y = 35 | x = 11; y = 6 |
| 23 | 6x+9y = 180; 5x+3y = 87 | x = 9; y = 14 |
| 24 | 9x+9y = 144; 3x+9y = 60 | x = 14; y = 2 |
| 25 | 4x+7y = 87; 8x+7y = 111 | x = 6; y = 9 |
| 26 | 5x+y = 34; 2x+3y = 37 | x = 5; y = 9 |
| 27 | 6x+3y = -42; 9x+7y = -58 | x = -8; y = 2 |
| 28 | 9x+4y = 121; x+y = 14 | x = 13; y = 1 |
| 29 | x+2y = 24; 7x+5y = 96 | x = 8; y = 8 |
| 30 | 4x+2y = 38; 8x+6y = 74 | x = 10; y = -1 |
| 31 | 2x+3y = 24; 5x+4y = 39 | x = 3; y = 6 |
| 32 | 8x+7y = 122; 8x+3y = 98 | x = 10; y = 6 |
| 33 | 2x+4y = 44; 6x+y = 55 | x = 8; y = 7 |
| 34 | x+9y = 119; 2x+8y = 118 | x = 11; y = 12 |
| 35 | 9x-6y = 12; x+7y = 55 | x = 6; y = 7 |
| 36 | 4x+5y = 30; 6x+5y = 40 | x = 5; y = 2 |
| 37 | x+2y = 31; x+8y = 115 | x = 3; y = 14 |
| 38 | 7x+8y = 52; 6x+8y = 48 | x = 4; y = 3 |
| 39 | 4x+2y = 36; 7x+3y = 60 | x = 6; y = 6 |
| 40 | 3x+9y = 75; 2x+2y = 22 | x = 4; y = 7 |
| 41 | 7x+4y = 11; 7x+4y = 11 | x = 1; y = 1 |
| 42 | 2x+9y = 110; 3x+6y = 75 | x = 1; y = 12 |
| 43 | 7x+2y = 37; 7x+9y = 93 | x = 3; y = 8 |
| 44 | 2x+4y = -44; 5x+5y = -40 | x = 6; y = -14 |
| 45 | 8x+y = 54; x+y = 12 | x = 6; y = 6 |
| 46 | 3x+9y = 54; 9x+6y = 78 | x = 6; y = 4 |
| 47 | 2x+6y = -64; 6x+3y = 18 | x = 10; y = -14 |
| 48 | 6x+9y = 90; 3x+y = 24 | x = 6; y = 6 |
| 49 | 3x+7y = 101; 6x+8y = 118 | x = 1; y = 14 |
| 50 | 4x-7y = 1; 5x+3y = 13 | x = 2; y = 1 |
