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2 years ago

Solve the system of equations x+4y=-3 -4×+y=-5

Mathematics

1 answer:

Alex Ar [27]2 years ago

4 0

Answer:

x=1 and y=−1

Step-by-step explanation:

So, for this systems of equation, I'm using the substitution method.

x+4y=−3 and −4x+y=−5

Step: Solve x+4y =−3 for x:

x+4y +−4y =−3+−4y(Add -4y to both sides)

x=−4y−3

Step: Substitute−4y−3 for x in −4x+y=−5:

−4x + y =−5

−4(−4y−3)+y=−5

17y +12=−5(Simplify both sides of the equation)

17y +12+−12=−5+−12(Add -12 to both sides)

17y =−17

17y

−17

(Divide both sides by 17)

y=−1

Step: Substitute−1 for y in x=−4y−3:

x=−4y−3

x=(−4)(−1)−3

x=1(Simplify both sides of the equation)

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At the candy store there are 420 gumdrops and 280 chocolate bars, for a total of 700 candies all together. What is the ratio of

Mekhanik [1.2K]

Answer:

5 : 2

Step-by-step explanation:

Given that:

Number of gumdrops = 420

Number of chocolate bars = 280

Total Number of candies = 700

To find:

The ratio of candies to chocolate bars = ?

Solution:

First of all, let us discuss the method to find the ratio of any two quantities.

Suppose, we need to find the ratio of two numbers $p$ and $q$ .

Then to find the ratio $p:q$ , we need to divide p by q and represent it in the simplest form $\frac{a}{b}$ such that a and b can not be divided further.

Here, to find the ratio of candies to chocolate bar:

$Ratio = \dfrac{\text{Number of candies}}{\text{Number of chocolate bars}}\\\Rightarrow \dfrac{700}{280}$

Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:

$\dfrac{70}{28}$

Now, let us divide the numerator and denominator by 14:

$\dfrac{5}{2}$

So, the ratio is 5 : 2

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2 years ago

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motikmotik

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larisa [96]

Answer:

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Step-by-step explanation:

Given:

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**Make sure your calculator is in degree mode**

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Brilliant_brown [7]

The correct answer is:
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3 years ago

Solve the system of equations x+4y=-3 -4×+y=-5​

Solve the system of equations x+4y=-3 -4×+y=-5