Answer
Eliminate\[y\]by multiplying the first equation by 2 and second equation by\[-3\] and then add the equations.
Work Step by Step
Given equations are\[4x-3y=15\ \text{and 3}x-2y=10\].
To eliminate\[y\], first equation is multiplied by\[2\] and second equation is multiplied by\[-3\].Thus,
\[\begin{align}
& \left( 3x-2y=10 \right)\times -3 \\
& -9x+6y=-30 \\
\end{align}\]
Now, add the above equation to the changed first equation to eliminate\[y\].
Hence, to eliminate\[y\], second equation is multiplied by\[-3\].