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stepladder [879]
3 years ago
13

X=y-1 X+2y=8 Solve each system by substituation

Mathematics
2 answers:
DochEvi [55]3 years ago
4 0
Since the first equation is already set up as x= use it to plug into the second equation.
x + 2y = 8
(y -1) + 2y = 8
y -1 + 2y = 8
3y -1 = 8
Add 1 to both sides
3y = 9
Divide both sides by 3
y = 3
Use x = y - 1 to solve for x
x = 3 - 1
x = 2
(2,3)
Bezzdna [24]3 years ago
3 0
The answer is
y=3
x=2

Also, substitution is just a type of method to solve for x and y.
Tell me if you want the steps for solving it
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What’s the Answer of this question plz? The total
ryzh [129]

Answer:

I think it's six

Step-by-step explanation:

A= 1

b= 2

c= 3

4 0
3 years ago
Solve the system of equations using the addition method.
stepladder [879]

Answer:

A) 5x - 2y = 12

B) 3x + 2y = 36  Adding both equations eliminates "y"

8x = 48

x = 6   Putting x=6 into equation B we get

3*6 + 2y = 36

2y = 18

y = 9

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A rectangle sand box has a length of 5 and 1/3 feet and a width of 3 and 3/4 feet. What is the perimeter?
Varvara68 [4.7K]

Answer:

Perimeter of rectangle = ⇒ 18\frac{1}{6} feet

Step-by-step explanation:

Given:

Length of a rectangular sand box = 5\frac{1}{3}\ feet

Width of the box = 3\frac{3}{4}\ feet

Perimeter of a rectangle = 2(l+w)

where l represents length of rectangle and w represents width of the rectangle.

Substituting values given for length and width.

Perimeter of sand box = 2(5\frac{1}{3}+3\frac{3}{4})\ feet

Simplifying by adding fractions:

⇒  2(5+3+\frac{1}{3}+\frac{3}{4})\ feet (Adding whole numbers and fractions separately)

⇒  2(8+\frac{1}{3}+\frac{3}{4}) feet

Whole number 8 can be written as \frac{8}{1}

⇒  2(\frac{8}{1}+\frac{1}{3}+\frac{3}{4}) feet

To add fractions we take LCD for the denominators 3,4,1.

LCD for 3 and 4 = 12 as its the least common multiple of 3,4,1.

Making denominators =12 by multiplying numerator an denominator with the corresponding numbers

⇒  2(\frac{8\times 12}{1\times 12}+\frac{1\times 4}{3\times 4}+\frac{3\times 3}{4\times 3}) feet

⇒  2(\frac{96}{12}+\frac{4}{12}+\frac{9}{12}) feet

Then we simply add numerators.

⇒  2(\frac{96+4+9}{12}) feet

⇒  2(\frac{109}{12}) feet

⇒  2\times \frac{109}{12} feet

⇒  \frac{218}{12} feet

Writing fraction as a mixed number by dividing 218 by 12 and writing quotient as whole number and remainder as numerator with divisor as denominator.

⇒ 18\frac{2}{12} feet

Simplifying fractions to simplest form.

⇒ 18\frac{1}{6} feet

Perimeter =⇒ 18\frac{1}{6} feet  (Answer)

5 0
3 years ago
1. Graph each point on the imaginary plane. The first number x is along thehorizontal axis, referred to as the real axis. The se
AlekseyPX
z=3-4i

z=-5-2iz=4+3iz=-2+4i

4 0
1 year ago
Mary and Mike went to the store to buy colored pencils for their science class.mike bought a 12-pack for 1.69,and Mary bought a
sweet-ann [11.9K]

12-pack for 1.69 is a better buy

<em><u>Solution:</u></em>

Given that, Mike bought a 12-pack for 1.69 and Mary bought a 24-pack for 3.18

We have to find which is the better buy

First we have to find the unit rate

Unit rate is cost of 1 pack

<em><u>Mike bought a 12-pack for 1.69</u></em>

Therefore,

Cost of 12 pack = 1.69

Cost of 1 pack is found by dividing 1.69 by 12

cost\ of\ 1\ pack = \frac{1.69}{12} = 0.14083

Thus unit rate of Mike is 0.14083 dollar per pack

<em><u>Mary bought a 24-pack for 3.18</u></em>

Cost of 24 pack = 3.18

Cost of 1 pack is found by dividing 3.18 by 24

cost\ of\ 1\ pack = \frac{3.18}{24} = 0.1325

Thus unit rate of Mary is 0.1325 dollars

<em><u>On comparing both the unit rate</u></em>

0.14083>0.1325

Thus unit rate of Mike is larger

Thus, 12-pack for 1.69 is a better buy

3 0
3 years ago
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