Answer:
x = -1 and y = 9
Explanation:
Given the below system of equations;
[tex]\begin{gathered} 2x+3y=25 \\ 8x+5y=37 \end{gathered}[/tex]To solve by using the elimination method, the 1st step is to multiply the 1st equation by 8 and the 2nd equation by 2, we'll have;
[tex]\begin{gathered} 16x+24y=200 \\ 16x+10y=74 \end{gathered}[/tex]The 2nd will be to subtract the 4th equation from the 3rd equation and solve for y;
[tex]\begin{gathered} 0+14y=126 \\ y=\frac{126}{14} \\ y=9 \end{gathered}[/tex]The 3rd step is to substitute y = 9 into the 1st equation and solve for x;
[tex]\begin{gathered} 2x+3(9)=25 \\ 2x+27=25 \\ 2x=-2 \\ x=\frac{-2}{2}=-1 \end{gathered}[/tex]