Solve the system of equations below algebraically.

2x + 3y = 6

- 5x+2y=4

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