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2 years ago

Solve the following system of equations using the elimination method 5x - y = 10 x + 3y = 4

Mathematics

1 answer:

Naddik [55]2 years ago

7 0

Answer:

5x - y = 10x + 3y = 4

5x - y = 4..... 1

10x + 3y = 4.....2

multiply by -2 in eq 1 in both sides

-10x + 2y = -8

10x +3y = 4

eliminate one variable by adding the equations

5y = -4

y = - 4/5

sub the value of y in..1

5x - y = 4

5x + 4/5 = 4

5x = 16/5

divide by 5 on both sides

x = 16/25

(x ; y)

(16/25 ; -4/5)

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fluorescent powder comes in 20 G vials with 12 vials in a set, each vilal a different color. so if I order 3 sets I will have 3

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First you need to know how many cups of powder you are going to need for the 496 cups of paint you already have

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$\begin{gathered} \frac{x}{496}=\frac{1}{5} \\ x=\frac{496}{5} \\ x=99.2 \end{gathered}$

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Continue by seeing how may grams there are in 99.2 cups

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write it as a ratio and solve for x again.

$\begin{gathered} \frac{x}{99.2}=\frac{60}{0.2536} \\ x=23470.03155 \end{gathered}$

now find how many vials you will need

$\begin{gathered} 1\text{vial}\Rightarrow20g \\ x\Rightarrow23470.03155g \end{gathered}$

write the ratio and solve

$\begin{gathered} \frac{x}{23470.03155}=\frac{1}{20} \\ x=\frac{23470.03155}{20} \\ x=1173.5\approx1174 \end{gathered}$

If each sets comes with 12 sets, write the ratio and find the number of sets you will need

$\begin{gathered} 1\text{set}\Rightarrow12vials \\ \text{xsets}\Rightarrow1174vials \end{gathered}$ $\begin{gathered} \frac{x}{1174}=\frac{1}{12} \\ x=\frac{1174}{12} \\ x=97.83\approx98 \end{gathered}$

you will need 98 sets for this amount of paint.

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1 year ago

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shtirl [24]

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