Solve the simultaneous equation \( 2 x+5 y=9 \) \( 2 x+3 y=7 \)

To solve the simultaneous equations, we can start by eliminating one variable. Let's subtract the second equation from the first: \[ (2x + 5y) - (2x + 3y) = 9 - 7 \] This simplifies to: \[ 2y = 2 \] Dividing both sides by 2 gives us: \[ y = 1 \] Now that we have \(y\), we can substitute it back into one of the original equations. Using the first equation: \[ 2x + 5(1) = 9 \] This simplifies to: \[ 2x + 5 = 9 \] Subtracting 5 from both sides gives: \[ 2x = 4 \] Dividing by 2, we find: \[ x = 2 \] Therefore, the solution to the simultaneous equations is \(x = 2\) and \(y = 1\).