Question

49 POINTS what is the first step to solve this system of equations?

4x-3y=-10
2x+3y=4

Answer 1

Answer:

Add the 2 equations.

Step-by-step explanation:

You add the equations. This will eliminate y and give you an equation in x only.

4x -  3y = -10

2x + 3y = 4     Add:-

6x =  -6

Answer 2

If you want use elimination methode, then you add both sides of the equations:

$\underline{+\left\{\begin{array}{ccc}4x-3y=-10\\2x+3y=4\end{array}\right}\\.\qquad6x=-6\qquad\text{divide both sides by 6}\\.\qquad \boxed{x=-1}\\\\\text{Next, put the value of x to the first or second equation.}\\\\2x+3y=4\\.\qquad\Downarrow\\2(-1)+3y=4\\-2+3y=4\qquad\text{add 2 to both sides}\\3y=6\qquad\text{divide both sides by 3}\\\boxed{y=2}$