Multiply the equation 4x - 3y = 10 by 2 to make coefficients of y equal in both the equations.
[tex]\begin{gathered} (4x-3y=10)\times2 \\ 2\cdot4x-2\cdot3y=10\cdot2 \\ 8x-6y=20 \end{gathered}[/tex]Add the equation 8x - 6y = 20 and 5x + 6y = -7 to eliminate the coefficients of y.
[tex]\begin{gathered} 8x-6y+5x+6y=20-7 \\ 13x=13 \\ x=\frac{13}{13} \\ =1 \end{gathered}[/tex]Substitute 1 for x in the equation 5x + 6y =-7 to obtain the value of y.
[tex]\begin{gathered} 5\cdot1+6y=-7 \\ 6y=-7-5 \\ y=-\frac{12}{6} \\ =-2 \end{gathered}[/tex]So solution of equation is (1.-2).
Answer: (1,-2)
