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
