Are the equations y=2x+5 and y=5x+2 consistent, inconsistentt,ordependent? [A] c

Question

Are the equations y=2x+5 and y=5x+2 consistent, inconsistentt,ordependent? [A] consistent [B] inconsistent [C] dependant [D] Both A and C
There were 16 more nickels than dimes in the purse. Iftherewere 100 coins total, how manynickels werethere? [A] 42 [B] 2.90 [C] 16 [D] 84 (This one is wrong.) [E] None of these [A] consistent [B] inconsistent [C] dependant [D] Both A and C
There were 16 more nickels than dimes in the purse. Iftherewere 100 coins total, how manynickels werethere? [A] 42 [B] 2.90 [C] 16 [D] 84 (This one is wrong.) [E] None of these

Explanation / Answer

2.
If there are 16 more nickels, then y = x + 16
Solve for x.
x + x + 16 = 100 x + x + 16 = 100 2x + 16 = 100 2x = 84 x = 42, or 42 dimes
y = 42 + 16 y = 58, or 58 nickels

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