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guapka [62]
3 years ago
13

Solve using the substitution method

Mathematics
1 answer:
dlinn [17]3 years ago
3 0

You are told x = 8y -4

Replace x in the second equation with 8y-4:

8y-4 + 8y = 6

Combine like terms:

16y-4 = 6

Add 4 to both sides:

16y = 10

Divide both sides by 16:

Y = 10/16

Simplify:

Y = 5/8

Now replace y with 5/8 do find x:

X = 8(5/8) -4 = 5-4 = 1

X = 1, y = 5/8

(1,5/8)

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Bill and Mary Ann went to the Viola bakery. Bill bought 5 pies and 7 donuts for ​$12.65. Mary Ann bought 6 of each for ​$12.30.
sweet [91]

Answer:

Pies=$0.85

Donuts= $1.20

Step-by-step explanation:

In the equation let p stand for the number of pies and d stand for the number of donuts.

To solve this set up 2 equations, one representing bill and the other representing Mary Ann.

  • Bill's equation is 5p+7d=$12.65.
  • Mary Ann's equation is 6p+6d=$12.30

Then solve using a system of equations. Systems of equations can be solved using elimination or substitution. I will use substitution. Solve bill's equation for p. This gives you p=\frac{12.65-7d}{5}. Then, you can substitute that into Mary Ann's equation. This looks like 6\cdot \frac{12.65-7d}{5}+6d=12.3. Solve for d. Once you solve d=1.20. Finally, substitute 1.20 back into either Bill's or Mary Ann's for d and solve for p. No matter which equation you use p=0.85.

3 0
2 years ago
sam divided a rectangle into 8 congruent rectangles that each have a area of 5 cm2. what is the area of the rectangle before it
Vikki [24]
Congruent= the same shape and size.

area of the rectangle before it is divided=8*(area congruent rectangle)
area of the rectangle before it is dividide=8*(5 cm²)=40 cm²

Area of the rectangle before it is dividide=40 cm²
5 0
4 years ago
BRAINLIST ASAP
kifflom [539]

Answer:

25.50

Step-by-step explanation:

-5 notebooks $2 each

-4 pencils $1.50 each

-2 packs of markers $3.75 each

5(2)+4(1.50)+2(3.75)

$23.5

23.5 times 8.5/100

1.9975

plus 23.5

25.4975

rounded to 25.50

6 0
3 years ago
A train travels 95 kilometers in 1 hours, and then 97 kilometers in 1 hours. What is its average speed?
aleksandrvk [35]
Average speed is given by [Total Distance] ÷ [Total Time]

Average speed = \frac{95+97}{1+1} = \frac{192}{2}=96 km/hour
8 0
3 years ago
What is the product of (-12/14)×(-11/15)?​
AysviL [449]

Answer:

22/35

Step-by-step explanation:

-12/14=-6/7

-6/7*-11/15=66/105=22/35

6 0
3 years ago
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