Question

Solve the system of equations below algebraically. 2x + 3y = 6 - 5x+2y=4

Answer 1

Answer: The solution is   (0,2)

Step-by-step explanation:

2x +3y = 6      We will solve the  equations using the elimination method

-5x +2y= 4     but first we need to eliminate one of the variables and we will multiply the first equation by 5 and multiply the second equation by 2 to eliminate the x variable.

5(2x + 3y) =6(5)     new equation  :  10x  +15y = 30

2(-5x + 2y) = 4(2)   new equation   ;   -10x +4y =8    

Now we have to new equations so we will eliminate the x term by adding

10x  +15y = 30

 -10x +4y =8    

       19y = 38  divide both sides by 19.

  y= 2     Now using the solution for y plot it  into one of the new equations and solve for x

10x + 15(2) = 30

10x  + 30  =  30

        -30       -30

10x = 0

x= 0