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Lesechka [4]
3 years ago
9

Use the substitution method to solve each system of equations. Write the answer in ordered pairs.

Mathematics
1 answer:
tatyana61 [14]3 years ago
5 0

x -y = 1

5x + 3y = 45

Solve the first equation for x: x = y + 1

Substitute x in the second with y + 1

5x + 3y = 45

5(y + 1) + 3y = 45

5y + 5 + 3y = 45

8y + 5 = 45

8y = 40

y = 5

Substitute 5 for y in x = y + 1

x = y + 1

x = 5 + 1

x = 6

Answer: (6, 5)

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Answer:

the domain is the legal values of x, while the range is all the legale values of y

Step-by-step explanation:

5 0
3 years ago
Pls help!!
masha68 [24]

Answer:

51.9 cm²

Step-by-step explanation:

From the diagram attached,

Area of the white region(segment)(A) = Area minor sector- area of the triangle

A = (πr²∅/360°)-(1/2r²sin∅)............... Equation 1

Where r = radius of the circle, Ф = reflex angle formed at the center of the circle, π = pie

From the question,

Given: r = 7 cm, Ф = 150°

Constant: π = 22/7

Substitute these values into equation 1

A = [(22/7)×7²×150/360]-[(1/2)×7²×sin150]

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5 0
3 years ago
Is the point (1, -3) a solution to the system? Show all work
Studentka2010 [4]

Answer:

The point P(1,-3) is not a solution to the system.

Step-by-step explanation:

Given  \left \{ {{y-x+2}} \right.  

Let a point be P(1,-3)

Here x = 1 ; y = -3

Substituting the values of x,y in the function

\left \{ {{y-x+2}} \right.

For y<x-1

-3 < 1-1

-3<0 (True)

now for,

y>-x+2

-3 > -1 + 2

-3 > 1 (False)

Hence the point is not a solution to the system.

6 0
3 years ago
Mrs.Magee's farm covers 14 1/3 acres. She grows corn on 5/8 of her farm. On how many acres does Mrs.Magee grow corn?
Veseljchak [2.6K]
C. 8 23/24
One way you can solve this is by dividing 14 1/3 by 8, because it is the denominator of 5/8, then multiplying the quotient by 5, because it is the numerator of 5/8.
6 0
3 years ago
Read 2 more answers
The strip below is cut into 9 equal bars.<br> Shade 2/3 of this strip.
Anna35 [415]

Answer:

Shade 6 bars.

Step-by-step explanation:

You are asked to shade 2/3 of the strip. It is given that the strip has 9 equal parts. Multiply the number and fraction together:

9 * \frac{2}{3} = \frac{9}{1} * \frac{2}{3} = \frac{9 * 2}{1 * 3}   = \frac{18}{3} = 6

You will shade 6 of the 9 bars given.

~

5 0
2 years ago
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