Answer:
[tex]\blue{\mathbb{MATHEMATICS \: IS \: FUN}}[/tex]
> What must be subtracted from 2y - 3 to get y +1?
✓ To get y+1 from the difference of 2y-3 and a number, you need to subtract both given polynomials.
[tex]2y - 3 - (y + 1) \\ 2y - 3 - y - 1 \\ \boxed{y - 4}[/tex]
✓ To check:
[tex]2y - 3 - (y - 4) \\ 2y - 3 - y + 4 \\ \boxed{y+1}[/tex]
> What must be added to x + 3 to get 4x -7?
✓ To get 4x-7 from the sum of x+3 and a number, you need to subtract both given polynomials.
[tex]4x - 7 - (x + 3) \\ 4x - 7 - x - 3 \\\boxed{3x-10} [/tex]
✓ To check:
[tex]3x - 10 + x + 3 \\\boxed{ 4x - 7}[/tex]
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