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+3y = 45; 8x+4y = 60 | x = 14; y = -13 |
| 2 | 3x-9y = -114; 7x+4y = 84 | x = 4; y = 14 |
| 3 | 4x+8y = 104; 5x+y = 76 | x = 14; y = 6 |
| 4 | 4x+3y = 59; 2x+9y = 97 | x = 8; y = 9 |
| 5 | 6x+y = 21; 2x+5y = 49 | x = 2; y = 9 |
| 6 | 3x+3y = 30; x+3y = 14 | x = 8; y = 2 |
| 7 | 5x+7y = 139; 4x+5y = 104 | x = 11; y = 12 |
| 8 | 6x+7y = 125; 7x+4y = 100 | x = 8; y = 11 |
| 9 | 5x+2y = 60; x+8y = 50 | x = 10; y = 5 |
| 10 | 9x+y = 16; 4x+9y = -10 | x = 2; y = -2 |
| 11 | x+8y = 63; 6x+4y = 70 | x = 7; y = 7 |
| 12 | 8x+4y = 44; 6x+y = 31 | x = 5; y = 1 |
| 13 | 2x+6y = 96; 3x+6y = 102 | x = 6; y = 14 |
| 14 | 7x+4y = 63; 5x+8y = 117 | x = 1; y = 14 |
| 15 | 8x+5y = 102; 6x+8y = 102 | x = 9; y = 6 |
| 16 | 6x+y = 11; 5x+7y = 40 | x = 1; y = 5 |
| 17 | x+8y = 41; 8x+6y = 38 | x = 1; y = 5 |
| 18 | x+2y = 0; 5x+7y = -12 | x = -8; y = 4 |
| 19 | 6x+4y = 20; 6x+4y = 20 | x = 2; y = 2 |
| 20 | x+3y = 22; 6x+3y = 42 | x = 4; y = 6 |
| 21 | 5x+5y = 95; x+2y = 29 | x = 9; y = 10 |
| 22 | 5x-8y = 52; 8x+y = 97 | x = 12; y = 1 |
| 23 | 9x+9y = 234; 8x+y = 124 | x = 14; y = 12 |
| 24 | 9x+6y = 93; 8x+6y = 88 | x = 5; y = 8 |
| 25 | 7x+4y = 41; 5x+7y = -8 | x = 11; y = -9 |
| 26 | 2x+6y = -48; 7x+9y = -24 | x = 12; y = -12 |
| 27 | 3x+3y = 33; 7x+9y = 89 | x = 5; y = 6 |
| 28 | 3x+9y = 96; 3x+9y = 96 | x = 5; y = 9 |
| 29 | 9x+2y = 62; 5x+3y = 59 | x = 4; y = 13 |
| 30 | x+6y = 72; 7x+8y = 164 | x = 12; y = 10 |
| 31 | 7x+4y = 43; 8x+4y = 44 | x = 1; y = 9 |
| 32 | 4x+6y = 88; 3x-5y = -29 | x = 7; y = 10 |
| 33 | 7x+4y = 18; 6x+3y = 15 | x = 2; y = 1 |
| 34 | 7x+2y = 32; 8x+8y = 88 | x = 2; y = 9 |
| 35 | x+3y = 53; 4x+3y = 95 | x = 14; y = 13 |
| 36 | 6x+9y = 87; 2x+6y = 38 | x = 10; y = 3 |
| 37 | 3x+9y = 36; 4x+2y = 18 | x = 3; y = 3 |
| 38 | 4x+5y = 93; 6x+6y = 120 | x = 7; y = 13 |
| 39 | 2x+5y = 51; 8x+5y = 69 | x = 3; y = 9 |
| 40 | 3x+9y = 126; 5x+9y = 138 | x = 6; y = 12 |
| 41 | 8x+7y = 124; 2x+7y = 94 | x = 5; y = 12 |
| 42 | 3x+2y = 2; 7x+6y = -10 | x = 8; y = -11 |
| 43 | 9x+6y = 135; 8x+7y = 140 | x = 7; y = 12 |
| 44 | 7x+y = 34; 4x+2y = 28 | x = 4; y = 6 |
| 45 | 9x+6y = 33; 8x+7y = 46 | x = -3; y = 10 |
| 46 | 8x+y = 54; 3x+5y = -26 | x = 8; y = -10 |
| 47 | 4x+7y = 116; 5x+7y = 124 | x = 8; y = 12 |
| 48 | 2x+4y = 38; 2x+5y = 42 | x = 11; y = 4 |
| 49 | 5x+5y = 75; 6x-8y = -64 | x = 4; y = 11 |
| 50 | 9x+8y = 126; 6x+2y = 54 | x = 6; y = 9 |
