So lost please help

Question

Identify the solution to the system: 2x-3y=5 ×+5y=9

Answer 1

Solve for x in the second equation: x = 9-5y

Substitute that into the first equation

2(9-5y) -3y = 5

18 -10y -3y = 5

Add the y's and subtract 18 from both sides

-13y = -13

divide both sides by -13

y = 1

Substitute y=1 back into the first equation

2x - 3(1) = 5

2x = 8

x = 8/2 = 4

x = 4

y = 1

Note, the substitution method is just one of many ways to solve a system of equations.

Answer 2

multiply 2nd equation by 2 and subtract the 1st equation from it

2x + 10y = 18

2x -3y =5

13y = 13

y=1

x = 9-5y = 9-5 = 4

x = 4