Question

What is the solution to the system of equations?

Answer 1

So for this, I will be using the elimination method. So firstly, multiply both sides of the first equation by 2 and both sides of the second equation by 3:

$\left \{ {{8x-6y=52} \atop {9x+6y=33}} \right.$

Now add the two equations to get $17x=85$ . From here you can solve for x. For this, just divide both sides by 17, and your first answer will be $x=5$

Now that we have the value of x, substitute it into either equation to solve for y:

$4*5-3y=26\\ 20-3y=26\\ -3y=6\\ y=-2\\ \\ 3*5+2y=11\\ 15+2y=11\\ 2y=-4\\ y=-2$

In short, x = 5 and y = -2.