This document solves a system of two linear equations with two unknowns, x and y, to find the solution (x,y). It multiplies the first equation by 2 and the second equation by 8 to make the coefficients of x and y in both equations the same. It then subtracts the equations to isolate y and solves for y=5. Plugging y=5 back into the first equation, it solves for x=4. Therefore, the solution to the system is (x,y) = (4,5).

1. Elimination Blog By: Andre Street

2. 8x+y=37 2x+3y=23

3. 8x+y=37 *2 16x+2y=74 2x+3y=23 *8 16x+24y= 184

4. 16x+2y= 74 - 24x+24y= 184 -22= -110 /-22 /-22 Y=5

5. 16x+2(5)= 74 16(4)+ 2(5)= 74 16(4)+ 24(5)=184 16x+10=74 -10 -10 16x=64 /16 /16 x=4 (4,5)