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Cerrena [4.2K]
3 years ago
15

Select the correct answer.

Mathematics
1 answer:
Eva8 [605]3 years ago
3 0

Answer:

Equation C: 5/8x + 2..5 = 3/8x + 1.5 + 1/4x

Step-by-step explanation:

Let us go through each of the equations one by one.

Equation A: 2.3y+2+3.1y=4.3y+1.6+1.1y+0.4

This simplifies to

5.4y+2=5.4y+2

which has infinitely many solutions.

Equation B: 32x+25-21x=10x

this simplifies to

x+25=0

x=-25

which is exactly one solution.

Equation C: \frac{5}{8} x+2.5=\frac{3}{8}x+1.5+\frac{1}{4} x

this simplifies to

\frac{5}{8} x+2.5=\frac{5}{8} +1.5

2.5=1.5

There's no way this is going to be possible; this equation has no solutions.

Equation D: \frac{1}{3} x+\frac{1}{7} x=\frac{3}{7} x

this gives

\frac{1}{3} =\frac{2}{7} y

y=\frac{7}{6}

which is exactly one solution.

Thus we see that it is equation C that has no solutions.

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3 years ago
What two numbers add to 9 and multiply to -70
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x+y=9 \\&#10;xy=-70 \\ \\&#10;y=9-x \\&#10;xy=-70 \\ \\&#10;\hbox{substitute 9-x for y in the second equation:} \\&#10;x(9-x)=-70 \\&#10;9x-x^2=-70 \\&#10;-x^2+9x+70=0 \\&#10;-x^2+14x-5x+70=0 \\&#10;-x(x-14)-5(x-14)=0 \\&#10;(-x-5)(x-14)=0 \\&#10;-x-5=0 \ \lor \ x-14=0 \\&#10;x=-5 \ \lor \ x=14 \\ \\&#10;y=9-x \\&#10;y=9-(-5) \ \lor \ y=9-14 \\&#10;y=14 \ \lor \ y=-5 \\ \\&#10;(x,y)=(-5,14) \hbox{ or } (x,y)=(14,-5)

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