Solve the simaltaneous equations: 3x + 4y = 10, 2x + 3y = 7

Solving by elimination

1. multiply the equations by a number so that the number in front of either x or y is the same for both equations:

3x + 4y = 10 (X2) --> 6x + 8y = 20

2x + 3y = 7 (X3) --> 6x + 9y = 21

2. now one of the equations can be subtracted from the other to "eliminate" the x value:

(6x - 6x) + (8y - 9y) = 20 - 21 -y = -1 y = 1

3. substitute in the found value of y into either equation to find the x value:

2x + 3(1) = 7

2x + 3 = 7

2x = 4

x = 2