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irina [24]
2 years ago
8

Emily and jimmy each improved their yards by planting rose bushes and shrubs. they bought their supplies from the same store. em

ily spent $68 on 5 rose bushes and 3 shrubs. jimmy spent $161 on 1 rose bush and 14 shrubs. find the cost of one rose bush and the cost of one shrub.
Mathematics
1 answer:
Ratling [72]2 years ago
4 0

Answer:

rose$7  shrub $11

Step-by-step explanation:

5r+3s=68

1r+14s=161

I will multiply the second by -5 to eliminate r variable

5r+  3s= 68

-5r- 70s = -805

        -67s  = -737

            Divide both by -67

          s= 11

14*11=154

161-154 =7

      5*7 + 3*11 = 68

    35+33 = 68

       7+ 14*11 = 161

7+154 = 161

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What is the y-intercept of a line that passes through (-3,3) and (1,-5)
shepuryov [24]

Answer:

The point-slope formula states:

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where

m

is the slope and

(

x

1

y

1

)

is a point the line passes through.

Substituting the slope and values from the point in the problem gives:

(

y

−

−

1

)

=

3

5

(

x

−

−

3

)

(

y

+

1

)

=

3

5

(

x

+

3

)

If you want the equation in the somewhat more familiar slope-intercept form we can solve this equation for

y

. The slope-intercept form of a linear equation is:

y

=

m

x

+

b

Where

m

is the slope and

b

is the y-intercept value.

y

+

1

=

(

3

5

⋅

x

)

+

(

3

5

⋅

3

)

y

+

1

=

3

5

x

+

9

5

y

+

1

−

1

=

3

5

x

+

9

5

−

1

y

+

0

=

3

5

x

+

9

5

−

5

5

y

=

3

5

x

+

4

5

The point-slope formula states:

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where

m

is the slope and

(

x

1

y

1

)

is a point the line passes through.

Substituting the slope and values from the point in the problem gives:

(

y

−

−

1

)

=

3

5

(

x

−

−

3

)

(

y

+

1

)

=

3

5

(

x

+

3

)

If you want the equation in the somewhat more familiar slope-intercept form we can solve this equation for

y

. The slope-intercept form of a linear equation is:

y

=

m

x

+

b

Where

m

is the slope and

b

is the y-intercept value.

y

+

1

=

(

3

5

⋅

x

)

+

(

3

5

⋅

3

)

y

+

1

=

3

5

x

+

9

5

y

+

1

−

1

=

3

5

x

+

9

5

−

1

y

+

0

=

3

5

x

+

9

5

−

5

5

y

=

3

5

x

+

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5

Step-by-step explanation:

7 0
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