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Firdavs [7]
3 years ago
6

Use the substitution method to solve the system of equations. Choose the correct ordered pair. x+y=10 y=x-6

Mathematics
2 answers:
kenny6666 [7]3 years ago
8 0
The coordinate (8,2) is the solution
Ede4ka [16]3 years ago
7 0

Answer:

Solution ( 8 , 2) .

Step-by-step explanation:

Given : x+y=10 and  y=x-6.

To find : Use the substitution method to solve the system of equations.

Solution : We have given

x+y=10------(1)

y=x-6 -------(2)

Substitute the equation 2 in equation 1 .

x + x -6 = 10 .

2x - 6 = 10

On adding both sides by 6

2x = 10 + 6.

2x = 16.

On dividing both sides by 2

x = 8.

On plugging x = 8 in equation 1

8 + y = 10 .

On subtracting both sides by 8

y = 10 -8

y = 2 .

Pair ( 8 , 2) .

Therefore, Solution ( 8 , 2) .

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Describe and correct the error in writing an equation of the line shown
Rudiy27

Answer:

y  = -\frac{3}{5}x+4

Step-by-step explanation:

Given:

(x_1,y_1) = (0,4)

(x_2,y_2) = (5,1)

The attachment completes the question

From the attachment, the slope of the line was calculated as:

m = \frac{1-4}{0-5}

This step is inaccurate because the slope of a line is calculated using

m = \frac{y_2-y_1}{x_2-x_1}

Which gives

m = \frac{1-4}{5-0}

m = \frac{-3}{5}

m = -\frac{3}{5}

The line equation is then calculated using:

y -y_1 = m(x - x_1)

Substitute values for m, x1 and y1

y - 4 = -\frac{3}{5}(x - 0)

y - 4 = -\frac{3}{5}(x)

Open bracket

y - 4 = -\frac{3}{5}x

Make y the subject

y  = -\frac{3}{5}x+4

6 0
3 years ago
THIS IS FUNNY
yaroslaw [1]

Answer:

thats funny lol :)

Step-by-step explanation:

8 0
3 years ago
Tilda buys a shirt for d dollars. She uses a $50 gift card and receives $22.50 in change Write an equation for this.
luda_lava [24]

Answer:

$50 - d = $22.50

Step-by-step explanation:

Since she's receiving a change, it means that d is smaller than $50, therefore, it will be deducted from it to give the change.

4 0
3 years ago
Determine if the two lines with the given slope are parallel, perpendicular, or neither. Circle your
Sati [7]

Answer:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

Step-by-step explanation:

Given

m₁ = 3/2

m₂ = -3/2

We know that when two lines are parallel, they have equal slopes

But

m₁ ≠ m₂

3/2 ≠ -3/2

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × -3/2

              = -9/4

              = -2.25

As

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

8 0
3 years ago
What is the solution to this Equation?
Maru [420]

Answer:

D(x=1).

Step-by-step explanation:

2(5x+8)=6x+20

10x+16=6x+20

10-6x+16=6x-6x+20

4x+16=20

4x+16-16=20-16

4x=4

4x/4=4/4

x=1

7 0
2 years ago
Read 2 more answers
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