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Alisiya [41]
3 years ago
7

Use the graphs to solve the simultaneous linear equations

Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0

Answer:

x = 2 and y = 5

Step-by-step explanation:

Given the simultaneous linear equations

y = 2x + 1 and x + y = 7

We are to find the  value of x and y;

Substitute 1 into 2

From 2;

x+y = 7

x+2x+1 = 7

3x+1 = 7

3x = 7-1

3x = 6

x = 6/3

x = 2

Recall that y = 2x+1

y = 2(2) + 1

y = 4+1

y = 5

Hence the solution from the graph will be the point where the line cuts the x axis and this will be at x = 2 and y = 5

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Tamara makes 12 identical flower arrangements, each with 3 roses and some carnations. She uses a total of 96 flowers.
storchak [24]

Answer:

5 carnations in each arrangement

Total of 60 carnations used

Step-by-step explanation:

First calculate how many flowers are in each arrangement by dividing the total number of flowers by the number of arrangements:

96 ÷ 12 = 8

Given each arrangement has 3 roses, subtract 3 from 8 to find the number of carnations in each arrangement:

8 - 3 = 5

Therefore, there are 5 carnations in each arrangement

Total number of carnations used = 5 x 12 = 60

5 0
2 years ago
Please refer to the image.
Citrus2011 [14]

Answer:2.7

Step-by-step explanation:multiply 3 x 1.8 then divide by 2

8 0
3 years ago
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Five times a number is the same as 30 more than 8 times the number. Find the number.
allsm [11]

5x = 8x+30

5x-8x+30 = 0

-3x=-30

x=-10

5 0
3 years ago
Lenox ironed 1/4 of the shirts over the weekend. she plans to split the remainder of the work eqaully over the next 5 evenings?
Anettt [7]
A. If she completed 1/4, 3/4 are still left to be done over 5 days.
To find out how much per day, divide 3/4 by 5 (multiply the first number by the reciprocal of the second).
3/4*1/5= 3/20.

Final answer: 3/20

b. If she irons 3/20 a day, she should iron 6/20 or 3/10 over the course of two days, Thursday and Friday. 3/10 of 40 is 40*0.3= 12

Final answer: 12 shirts
3 0
3 years ago
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What expressions are equivalent to 3 and 7tenths ​
rewona [7]

Answer:

3 7/10 = 37/10

Step-by-step explanation:

8 0
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