Answer:
Solution = ( 0, 4 )
Step-by-step explanation:
You made one tiny error. When you were attempting to substitute your y value, 4, to derive the x - value, you took the second equation. However, that second equation was x + 2y = 8, when you substituted y as 4 you rewrote this equation as x + 2( 4 ) = 12, instead it should have been x + 2( 4 ) = 8!
If you would like, let me explain how to get the right answer;
[tex]x + 2 * ( 4 ) = 8,\\x + 8 = 8,\\x = 8 - 8 = 0\\\\x = 0, y = 4\\Solution = ( 0, 4 )[/tex]
And as for your " check " let us substitute these values into both the equations, for true confirmation;
[tex]- 5 * ( 0 ) + 3 * ( 4 ) = 12,\\0 + 12 = 12,\\12 = 12\\Correct!\\\\0 + 2 * ( 4 ) = 8,\\0 + 8 = 8,\\8 = 8\\Correct![/tex]
