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2 years ago

Solve x and y 3x-4y=18,9x-2y=12

Mathematics

2 answers:

erik [133]2 years ago

6 0

Answer:

X=2/5

Y=-21/5

Step-by-step explanation:

solve your system by substitution.

3x−4y=18;9x−2y=12

Step: Solve3x−4y=18for x:

3x−4y=18

3x−4y+4y=18+4y(Add 4y to both sides)

3x=4y+18

3x/3=4y+18/3

(Divide both sides by 3)

x=4/3y+6

Step: Substitute 4/3y+6 for x in 9x −2y=12:

9(4/3y+6)−2y=12

10y+54=12(Simplify both sides of the equation)

10y+54+−54=12+−54(Add -54 to both sides)

10y=−42

10y/10=-42/10 . (Divide both sides by 10)

y=-21/5

Step: Substitute

21/5 fory in x= 4/3y+6

x= 4/3y (-21/5) +6

X=2/5 (Simplify both sides of the equation)

Answer:

X=2/5

Y=-21/5

HAVE A NICE DAY!!!!!

Rudiy272 years ago

4 0

Answer:

3x-4y=18

1xy=18

xy=18 ans

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2 years ago

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2 years ago

A chemist wishes to mix a solution that is 6% acid. She has on hand 14 liters of a 4% acid solution and wishes to add some 10% a

jonny [76]

she should add 7 liters of 10% acid solution

Explanation

Step 1

set the equation:

a) let X represents the amount os solution that is 4% acid

let Y represents the amount os solution that is 10% acid

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(x+y) \\ \end{gathered}$

if he has 14 liters of 4% acid solution

$x=14$

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ \frac{4}{100}*14+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ 0.56+0.1Y=0.06(14+Y) \\ 0.56+0.1Y=0.84+0.06Y \\ \end{gathered}$

Step 2

solve the equation :

$\begin{gathered} 0.56+0.1Y=0.84+0.06Y \\ subtract\text{ 0.06Y in both sides} \\ 0.56+0.1Y-0.06Y=0.84+0.06Y-0.06Y \\ 0.56+0.04Y=0.84 \\ subtract\text{ 0.56 in both sides} \\ 0.56+0.04Y-0.56=0.84-0.56 \\ 0.04Y=0.28 \\ divide\text{ both sides by 0.04} \\ \frac{0.04Y}{0.04}=\frac{0.28}{0.04} \\ Y=7 \end{gathered}$

therefore,

she should add 7 liters of 10% acid solution

I hope this helps you

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