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Vesnalui [34]
2 years ago
7

What is the solution to the system of equations below?

Mathematics
1 answer:
zvonat [6]2 years ago
6 0

Answer:

D. (2, -1)

Step-by-step explanation:

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Explain, how you can solve the pair of equations graphically. Wright the slope and y- intercept for each equation that you will
poizon [28]

You can solve the pair of equations graphically by finding where the two lines intersect/meet. The point where they intersect is the solution to both of the equations.

Slope-intercept form: y = mx + b    

(m is the slope, b is the y-intercept, or the point where x = 0 ---> (0 , y))

y = 7x - 9

m = 7

y-intercept = -9     ----->    (0, -9)

y = 3x - 1

m = 3

y-intercept = -1  ------>  (0, -1)

I'm not really sure what the last sentence of the question is asking, so you could clarify the question if you need help

6 0
3 years ago
Please help me with this question :)​
just olya [345]

Answer:

3rd option.

Step-by-step explanation:

\frac{2|k|}{5} = 4

move 5 to the other side of the equation.

2|k| = 5(4)

2|k| = 20

move 2 to the other side of the equation.

|k| = \frac{20}{2}

k = 10

8 0
3 years ago
A number is equal to twice a smaller number plus 3. Yhe same number is equal to twice the sum of smaller number and 1. How many
allsm [11]

Answer:

There is no solution to the problem

Step-by-step explanation:

In order to find the solutions to the problem you can write the situation in an algebraic form.

You have that a number is equal to twice a smaller number plus 3. This can be written as follow:

x=2y+3      (1)

where x is the number and y is the smaller number

Furthermore, the same number x is equal to twice the sum of the smaller number and 1, which can be written as follow:

x=2(y+1)     (2)

To find the solution you equal the equation (1) with (2), and you solve for y:

2y+3=2y+1

3=1

You obtain an inconsistency, hence, the situation of the problem does not have solution

5 0
3 years ago
Kala is building a fence around her garden. For every 4 feet of fencing. the cost is 36$ . Complete the table below showing the
ExtremeBDS [4]

Answer:

Length of fencing: 4, 6, 7, 9, 10

Cost: 36, 54, 63, 81, 90

4 0
3 years ago
Solve the system (x-1)²+(y-2)²=2² and y=2x+2.
Likurg_2 [28]

Answer:

  (x, y) = (-0.6, 0.8)  or  (1, 4)

Step-by-step explanation:

Use the second equation to substitute for y in the first.

 (x -1)² +((2x +2) -2)² = 4

  x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses

  5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms

Now we can rearrange the middle term to ease factoring by grouping.

  (5x² -5x) +(3x -3) = 0

  5x(x -1) +3(x -1) = 0

  (5x +3)(x -1) = 0

The values of x that make these factors zero are ...

  x = -3/5, x = 1

The corresponding values of y are ...

  y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5

  y = 2(1) +2 = 4 . . . . . . . . for x = 1

The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).

___

A graphing calculator verifies these solutions.

3 0
3 years ago
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