2. use the linear combination method to solve the system of equations. explain each step of your solution. 2x-3y=13 x+2y=-4

Let's eliminate the variable x.   to do this, mult. the 2nd eqn by   -2, obtaining  -2x - 4y = 8.   to this add the 1st equation: -2x - 4y = 8  2x - 3y = 13        -7y = 21.   div. both sides by -7, we get y = -3.to find y, subst. -3 for y in the 2nd eqn.   result:   x + 2(-3) = -4                                                                              x - 6 = -4                                                                              x = 2solution is (2, -3)

2x-3y=13    | -1x+2y= -4    | 2          i do this for make one pair of opposites terms ( x for example)-2x + 3y= - 132x  + 4y= - 8          7y= -21          y= -21/7          y= -3after finding y,  i choose one of the equation for substitute the value of y, then i solve for xx+ 2*(-3)=-4x-6=-4x=6-4x=2the solution is (2, -3)