Question

4x - Зу = 105х + бу = -7solve using any system

Answer 1

Multiply the equation 4x - 3y = 10 by 2 to make coefficients of y equal in both the equations.

`\begin{gathered} (4x-3y=10)*2 \\ 2\cdot4x-2\cdot3y=10\cdot2 \\ 8x-6y=20 \end{gathered}`

Add the equation 8x - 6y = 20 and 5x + 6y = -7 to eliminate the coefficients of y.

`\begin{gathered} 8x-6y+5x+6y=20-7 \\ 13x=13 \\ x=(13)/(13) \\ =1 \end{gathered}`

Substitute 1 for x in the equation 5x + 6y =-7 to obtain the value of y.

`\begin{gathered} 5\cdot1+6y=-7 \\ 6y=-7-5 \\ y=-(12)/(6) \\ =-2 \end{gathered}`

So solution of equation is (1.-2).

Answer: (1,-2)