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1 year ago

PLEASE I NEED HELP QUICKLY!!! Find the solution for the given system of equations in the form (x,y).

Mathematics

2 answers:

adelina 88 [10]1 year ago

4 0

Solution:

Note that:

Given equations: -x + y = 8 and 7x + 3y = -16

Solving the system of equations to find the value of x and y:

7(-x + y = 8)

7x + 3y = -16

-7x + 7y = 56

7x + 3y = -16

10y = 40
=> y = 40/10 = 4

Substituting the value of y into any equation to find the value of x:

7x + 3y = -16
=> 7x + 3(4) = -16
=> 7x + 12 = -16
=> 7x = -16 - 12
=> 7x = -28
=> x = -28/7 = -4

Putting the values in the form (x,y):

(x,y) ⇒ (x = -4,y = 4) ⇒ (-4,4)

Correct option is D.

goblinko [34]1 year ago

3 0

Answer:

(4, - 4)

Step-by-step explanation:

Given system:

-x + y = 8
7x + 3y = - 16

Multiply the first equation by 7 and add up the equations:

-7x + 7y + 7x + 3y = 7*8 - 16
10y = 40
y = 4

Find y:

-x + 4 = 8
-x = 4
x = - 4

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Write the slope intercept

mrs_skeptik [129]

Answer:

b = 4,

m = 4/3,

y = 4x/3 + 4

Step-by-step explanation:

We can see the line intercepts the x-axis in (-3,0) and the y-axis in (0,4). So, using the fact that the line equation in the slope-intercept form is:

$y = mx+b$

We can substitute the points we know:

→ (0,4):

$y = mx+b\\\\4 = m\cdot0+b\\\\4 = 0+b\\\\\boxed{b=4}$

→ (-3,0):

$y = mx+b\\\\0 = -3m + 4\\\\3m = 4\\\\\boxed{m = \dfrac{4}{3}}$

So, the line equation in form requested is:

$\boxed{y=\dfrac{4}{3}x+4}$

7 0

2 years ago

Find the equation of the line that passes through point A (1,7) and B (-3, -1)

amid [387]

Answer:

The equation of the line is 2 x - y + 5 = 0.

Step-by-step explanation:

Here the given points are A( 1, 7) & B( -3, - 1) -

Equation of a line whose points are given such that

( $x_{1}, y_{1}$ ) & ( $x_{2}, y_{2}$ )-

y - $y_{1}$ = $\frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }$ ( x - $x_{1}$ )

i.e. y - 7= $\frac{- 1 - 7}{ -3-1}$ ( x- 1)

y - 7 = $\frac{- 8}{- 4}$ ( x -1)

y - 7 = 2 ( x - 1)

y - 7 = 2 x - 2

2 x - y + 5 = 0

Hence the equation of the required line whose passes trough the points ( 1, 7) & ( -3, -1) is 2 x - y + 5 = 0.

6 0

2 years ago

How to solve: 8(2)-4 ________ 8÷4 ?

MissTica

So the first thing you do is dove the equations. Let's do the numerator equation. 8(2)-4 is simply saying 8•2-4 and i don't know if u learned this in class yet but you do multiplication and division before addition and subtraction so 8•2=16-4=12 so now 12 is our numerator. Now for the denominator, 8/4=2 so 2 is our denominator. We have 12/2 but it can be simplified to 6 because 6 goes into 12 twice and u cans check this by doing 6•2=12
Hope this helps m8 :))

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2 years ago

Read 2 more answers

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wlad13 [49]

Answer:

Odd

Step-by-step explanation:

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