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Orlov [11]
3 years ago
8

What is 10x+4y=46 17x-4y=35

Mathematics
1 answer:
Eva8 [605]3 years ago
3 0

The solution is x=3 and y=4

Step-by-step explanation:

Given

10x+4y=46\ \ \ Eqn\ 1\\17x-4y=35\ \ \ Eqn\ 2

As the coefficients of y in both equations are same i.e. 4 with already different signs, we can simply add the equations

So,

Adding Eqn 1 and Eqn 2

10x+4y+17x-4y = 46+35\\27x = 81

Dividing both sides by 27

\frac{27x}{27} = \frac{81}{27}\\x = 3

Putting x=3 in eqn 1

10(3)+4y = 46\\30+4y = 46\\30+4y-30 = 46-30\\4y = 16

Dividing both sides by 4

\frac{4y}{4} = \frac{16}{4}\\y = 4

Hence,

The solution is x=3 and y=4

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/4703807
  • brainly.com/question/4703820

#LearnwithBrainly

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Determine the intercepts of the line that correspond to the following table of values. x y 4 0 12 5 20 10
gogolik [260]

Let

A(4,0)

B(12,5)

C(20,10)

we know that

The x-intercept of the line is the value of x when the value of y is equal to zero

The y-intercept of the line is the value of y when the value of x is equal to zero

The point A(4,0) is the x-intercept of the line

<u>Find the slope AB</u>

m=(y2-y1)/(x2-x1)

mAB=(5-0)/(12-4)--------> mAB=5/8

<u>with the slope m and the point A(4,0) find the equation of the line</u>

y-y1=m*(x-x1)----------> y-0=(5/8)*(x-4)-------> y=(5/8)x-2.5-----> y=0.625x-2.5

<u>Find the y-intercept</u>

For x=0

y=0.625*0-2.5---------> y=-2.5

the y-intercept is the point (0,-2.5)

therefore

<u>the answer is</u>

the x-intercept is the point (4,0)

the y-intercept is the point (0,-2.5)

see the attached figure to better understand the problem

4 0
3 years ago
What is -5 5/8 + 3 1/2? Answer now for 25 points and a brainly!
Viefleur [7K]
<h3>Answer: Choice C) -2 & 1/8</h3>

==============================================

Work Shown:

5 & 5/8 = 5 + 5/8

-5 & 5/8 = -(5 & 5/8) = -(5 + 5/8) = -5 - 5/8

So,

( -5 & 5/8 ) + ( 3 & 1/2 )

( -5 - 5/8 ) + ( 3 + 4/8 )

( -5+3 ) + ( -5/8+4/8 )

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-(2 & 1/8)

-2 & 1/8

------------------------

Alternative Method

We could convert each mixed number to decimal form

-5 & 5/8 = -5-5/8 = -5.625

3 & 1/2 = 3+1/2 = 3.5

( -5 & 5/8 ) + ( 3 & 1/2 ) = -5.625+3.5 = -2.125

Then convert back to mixed number form

-2.125 = -2 & 125/1000

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6 0
3 years ago
What is the quotient?
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Hi!

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d) the input to an exponential function is the exponent
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hope this helps :)
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