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Vlad [161]
4 years ago
7

HURRY PLEASE What is the solution of the system 4x+3y=6 2x+2y=5

Mathematics
2 answers:
murzikaleks [220]4 years ago
8 0
4x + 3y = 6
2x + 2y = 5

4x + 3y = 6
4x + 4y = 10

4x + 4y = 10
4x + 3y = 6

(4 - 4)x + (4 - 3)y = 4
y = 4

2x + 2y = 5
2x + 8 = 5
2x = -3
x = -3/2 or -1 1/2

x = -3/2, y = 4
jolli1 [7]4 years ago
7 0
The first given equation is:
4x + 3y = 6
which can be rewritten as:
2(2x) + 3y = 6 .............> equation I

The second given equation is:
2x + 2y = 5
which can be rewritten as:
2x = 5 - 2y ........> equation II

Substitute with equation II in equation I to get the value of y as follows:
2(5-2y) + 3y = 6
10 - 4y + 3y = 6
-y = 6-10 = -4
y = 4

Substitute with the y in equation II to get x as follows:
2x = 5 - 2y
2x = 5 - 2(4)
2x = 5 - 8 = -3
x = -3/2

From the above calculations:
x = -3/2
y = 4
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There will be 72 flowers in total in the large arrangement.

Step-by-step explanation:

No. of red flowers in vase = 4

No. of white flowers in vase = 5

Ratio of red flowers to white flowers = 4:5

No. of red flowers in large arrangement = 32

No. of white flowers in large arrangement = w

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Using proportion;

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Product of extreme = Product of mean

4*w=32*5\\4w=160

Dividing both sides by 4

\frac{4w}{4}=\frac{160}{4}\\w=40

Total flowers in large arrangement = Red flowers + white flowers

Total flowers in large arrangement = 32 + 40 =72

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Keywords: ratio, proportion

Learn more about ratios at:

  • brainly.com/question/4228574
  • brainly.com/question/4279146

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