d the solution of the system of equations. -6x+5y=34 -6x-10y=4 square ,square )

To solve the system of equations, we can use the elimination method.<br /><br />Given:<br />$-6x+5y=34$<br />$-6x-10y=4$<br /><br />Step 1: Multiply the first equation by 2 to make the coefficients of $y$ in both equations equal.<br />$-12x+10y=68$<br />$-6x-10y=4$<br /><br />Step 2: Add the two equations to eliminate $y$.<br />$-12x+10y+(-6x-10y)=68+4$<br />$-18x=72$<br /><br />Step 3: Solve for $x$.<br />$x=-4$<br /><br />Step 4: Substitute the value of $x$ into one of the original equations to solve for $y$.<br />Using the first equation: $-6(-4)+5y=34$<br />$24+5y=34$<br />$5y=10$<br />$y=2$<br /><br />Therefore, the solution to the system of equations is $(-4, 2)$.