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16.$(y = x + 5)$$(2x + y = 11)$point: (2, 7) yes / no17.$(y = -x)$$(x +…

Question

16.$(y = x + 5)LXB0(x + y = 0)$point: (4, -4) yes / no18.$(y = 2x - 4)$$(y = x)$point: (4, 4) yes / no

Explanation:

Step1: Check (2,7) in Q16

Substitute $x=2, y=7$ into $y=x+5$: $7=2+5 \implies 7=7$ (true). Substitute into $2x+y=11$: $2(2)+7=4+7=11$ (true).

Step2: Check (4,-4) in Q17

Substitute $x=4, y=-4$ into $y=-x$: $-4=-4$ (true). Substitute into $x+y=0$: $4+(-4)=0$ (true).

Step3: Check (4,4) in Q18

Substitute $x=4, y=4$ into $y=2x-4$: $4=2(4)-4=8-4=4$ (true). Substitute into $y=x$: $4=4$ (true).

Answer:

  1. YES
  2. YES
  3. YES