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Vladimir [108]
3 years ago
15

What is the solution to the following system of equations: 2x + 3y = 5 AND 5x = 5y -25

Mathematics
2 answers:
N76 [4]3 years ago
3 0

Answer:

point form (-2,3)

Equation form

x=-2, y=3

Step-by-step explanation:

solve for the first variable in one of the equation, then substitute the result into the other equation.

Brrunno [24]3 years ago
3 0

Answer:

(-2,3)

Step-by-step explanation:

5x=5y-25

x=y-5    divide both sides by 5

use substitution.

2(y-5)+3y=5

2y-10+3y=5    distribute the parenthesis

5y-10=5    combine like terms

5y=15    add 10 to both sides

y=3    divide both sides by 5 to get y alone

5x=5(3)-25    replace y with 3, the value we found above

5x=15-25    multiply 5 and 3

5x=-10    subtract 25 from 15

x=-2    divide both sides by 5 to get x alone

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Alguien me podría ayudar con esos problemas? :D
riadik2000 [5.3K]

Answer:

3. \frac{1}{12}

4. \frac{22}{3}

5. \frac{5}{42}

8. \frac{8}{63}

9. -\frac{7}{54}

10. -\frac{3}{16}

Step-by-step explanation:

3.

\frac{-6}{8} *\frac{1}{-9} =\frac{-6}{-72}

ahora simplifica, un numero negativo dividido por otro numero negativo se convierte en positivo. Los dos nu$meros se pueden simplificar por 6

\frac{1}{12}

4.

\frac{11}{3}*\frac{4}{2} =\frac{44}{6}

ahora simplifica, los dos nu$meros se pueden simplificar por 2

\frac{22}{3}

5.

\frac{5}{-3}*\frac{-2}{7}* \frac{1}{4} =\frac{-10}{-84}

ahora simplifica, un numero negativo dividido por otro numero negativo se convierte en positivo. Los dos nu$meros se pueden simplificar por 2

\frac{5}{42}

8.

\frac{20}{-5}*\frac{1}{-9}* \frac{-2}{-7} =\frac{-40}{-315}

ahora simplifica, un numero multiplicado por otro negativo se convierte en positivo. Un numero negativo dividido por otro numero negativo se convierte en positivo. Los dos nu$meros se pueden simplificar por 5

\frac{8}{63}

9.

\frac{2}{3}*\frac{-7}{-9}* \frac{-1}{4} =\frac{14}{-108}

ahora simplifica, un numero multiplicado por otro negativo se convierte en positivo. Un numero positivo dividido por un numero negativo se convierte en negativo. Los dos nu$meros se pueden simplificar por 2

-\frac{7}{54}

10.

\frac{9}{-12}*\frac{-4}{16} =\frac{-36}{-192}

ahora simplifica, un numero negativo dividido por otro numero negativo se convierte en positivo. Los dos nu$meros se pueden simplificar por 12

-\frac{3}{16}

Espero y te ayude esto! (:

5 0
3 years ago
Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?
Stella [2.4K]

Answer:

x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

0=-3x^{2}-2x+6  

so

a=-3\\b=-2\\c=6

substitute in the formula

x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(-3)(6)}} {2(-3)}

therefore

x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

4 0
3 years ago
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Answer:

I think it's J

Step-by-step explanation:

4 0
3 years ago
Katenka cross country skied a trail that was 3/4 mile each way. after skiing 2/3 of the trail she turned around. What fraction o
allsm [11]
We know that

[total trail]=(3/4)*2------> 6/4---------> (3/2) miles

<span>[fraction of a mile that katenka did]=(2/3)*(3/2)------> 1 mile

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3 0
3 years ago
A flagpole casts a shadow 15 feet long. Brad is 6 feet tall. If Brad casts a 4.5ft shadow, how tall is the flag pole?
hram777 [196]

Answer:

11.25

Step-by-step explanation:

9/12 of 15 is 11.25

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