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Dvinal [7]
3 years ago
5

X+y=10 and 2x+4y=30What are the steps to solve this equation?

Mathematics
1 answer:
Ronch [10]3 years ago
6 0

Answer:

x=5 and y=5

Step-by-step explanation:

You "plug" one equation into the other, to get a new equation that only has one variable (x or y), then you can simplify that and have your answer.

So let's plug the first into the second:

First, we convert the first equation into an x=... form. For this one, this means moving the +y to the other side:

x = 10 - y

Now we substitute 10-y for x in the second equation:

So 2x+4y=30 becomes:

2(10-y) + 4y = 30

And simplify that:

20 - 2y + 4y = 30

20 + 2y = 30

2y = 30-20

2y = 10

y = 5

This is the first answer! If we put this into the first equation, we get:

x = 10 - 5 = 5

Now we have both answers, x=5 and y=5

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Answer:

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Step-by-step explanation:

1) 3^3 x 3^4 = 3 ^3+4 = 3^7

3^9 ÷3² = 3^9-2 = 3^7

2) (3^2)^2 = 3^2×2 =3^4

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3 years ago
the mantle layer of earth begins about 70 kilometers underneath the surface. The layer called the outer core begins about 2970 k
gavmur [86]
Given:
<span>mantle layer of earth begins about 70 kilometers underneath the surface
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Comparing -70 and -2970, -70 has a greater value than -2970. The nearer the number is to the origin or 0, the higher its value.

Comparing the absolute greater value of -70 and -2970, -2970 has a greater absolute value. This is because absolute value is the positive value of the number. Absolute value of -70 is 70 while absolute value of -2970 is 2970. Thus, -2970 has a greater absolute value. </span>
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Answer:

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Step-by-step explanation:

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Read 2 more answers
Please help me with these 5 questions!
kipiarov [429]

Answer:

Part 2) Option D. yes; k = 1/4 and y = 1/4x

Part 6) Option D. y = 1/5x-1

Part 8) Option C. line b

Part 11) Option D. -1/5

Part 15) Option A. line a

Step-by-step explanation:

Part 2) we know that

A relationship between two variables, x, and y, represent a directly variation if it can be expressed in the form  y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin

therefore

Yes. y varies directly with x

Let

A(4,1)

The constant k is equal to

k=y/x

substitute

k=1/4

the equation is equal to

y=(1/4)x

Part 6) we know that

The y-intercept of the trend line is -1 (For x=0)

The slope of the trend line is positive

The x-intercept of the trend line is 5 (For y=0)

therefore

the equation is equal to

y=(1/5)x-1

Part 8) we have

y+4=-\frac{2}{3}x

This is the equation of a line into point slope form

The slope is negative m=-2/3

Pass through the point (0,-4) ----> y-intercept

The x-intercept is equal to

0+4=-\frac{2}{3}x

x=-4*3/2=-6

therefore

Is the line b

Part 11)

What is the slope of the line through the points (–2, –1) and (8, –3)?

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{-3+1}{8+2}

m=\frac{-2}{10}

simplify

m=-\frac{1}{5}

Part 15) we have

y=3x-2

The slope is positive m=3

The y-intercept is -2 (For x=0)

The x-intercept is  (For y=0)

0=3x-2

3x=2

x=2/3

therefore the line is a

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3 years ago
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