Solve the simultaneous equations:

5x+3y=12

2x+y=5

5x+3y=12

2x+y=5

Change the second equation to y=-2x+5. Now substitute this into the first equation:

5x+3 (-2x+5) = 12

5x-6x+15=12

-x+15=12

-x=-3

x=3

Now you can find y.

y=-2x+5

y=-2 (3) + 5

y=-1

I will use the substitution method, but you can also use elimination and matrix.

1. Solve for y in 2x+y=5

2x+y=5

y=5-2x

2. Substitute y=5-2x into 5x+3y=12

5x+3y=12

5x+3 (5-2x) = 12

5-x=12

3. Solve for x in 15-x=12

15-x=12

-x=12-15

-x=-3

x=3

4. Substitute x=3 into y=5-2x

y=5-2x

y=5-2*3

y=-1

5. Therefore,

x=3

y=-1

Have a nice day : D