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Alexxx [7]
3 years ago
13

What is solution 7x+5y=-24 and 4x+y=42?

Mathematics
2 answers:
LenKa [72]3 years ago
6 0
7x+5y=-24 (1)
   4x+y=42 (2)

multiply equation (2) by 5 to get
20x+5y=210 (3)

then calculate (3)-(2) which gives you
13x=234 hence x=18
then substitute for x in either equation to get y=-30
iren [92.7K]3 years ago
5 0
{ 7x + 5y = - 24
{ 4x + y = 42    ⇒  y = 42 - 4x

7x + 5y = - 24
7x + 5.( 42 - 4x ) = - 24
7x + 210 - 20x = - 24
7x - 20x = - 24 - 210
- 13x = - 234 .(-1)
  13x = 234
   x = <u>234</u>
          13
   x = 18

4x + y = 42
4.(18) + y = 42
72 + y = 42
y = 42 - 72
y = - 30

S = { 18 , - 30 }
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Answer:

x= 9

Step-by-step explanation:

Move the terms -> -1=14x = -12x + 16

Find out the sum -> 2x=17+1

Divide both by the equation by two -> 2x=18 x=9

Final answer: x=9

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Francis went to the sporting goods store and spent $75.15 on 6 items.
MArishka [77]

Answer:

$6.03

Step-by-step explanation:

The question is asking us how much each pair of socks cost. With the information we are given, we know that there are 5 pairs and that they all cost the same amount. If the total were just the 5 socks, we could easily divide the total by 5 to get the price of each pair but that's not the case. The soccer ball is included in the final cost. To overcome this, we just have to subtract the soccer ball's cost ($45) from the total.

So we subtract $45 from $75.15, giving us $30.15, the total amount of all the socks. However we need to find out how much each pair costs and there are 5 of them, so we divide 30.15 by 5. This gives us the answer, $6.03.

Each pair of socks cost $6.03.

Simpler Explanation:

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The answer is $6.03

5 0
3 years ago
What is the total surface area
Stels [109]

We have two right triangles and three different rectangles.

The formula of an area of a right triangle:

A_T=\dfrac{1}{2}l_1l_2

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We have l₁ = 20cm and l₂ = 21cm. Substitute:

A_T=\dfrac{1}{2}(20)(21)=(10)(21)=210\ cm^2

The formula of an area of a rectangle:

A_R=lw

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w - width

We have:

rectangle #1: l = 22cm, w = 29cm

A_{R1}=(22)(29)=638\ cm^2

rectangle #2: l = 22cm, w = 21cm

A_{R2}=(22)(21)=462\ cm^2

rectangle #3: l = 22cm, w = 20cm

A_{R3}=(22)(20)=440\ cm^2

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3 0
2 years ago
A segment with endpoints A (3, 4) and C (5, 11) is partitioned by a point B such that AB and BC form a 2:3 ratio. Find B.
Dima020 [189]

Answer:

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Step-by-step explanation:

Point B:

Has coordinates (x,y)

AB and BC form a 2:3 ratio.

This means that:

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B - A = \frac{2}{5}(C - A)

We apply this both for the x-coordinate and for the y-coordinate.

x-coordinate:

x-coordinate of A: 3

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x-coordinate of B: x

B - A = \frac{2}{5}(C - A)

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x = 0.8 + 3 = 3.8

y-coordinate:

y-coordinate of A: 4

y-coordinate of C: 11

y-coordinate of B: y

B - A = \frac{2}{5}(C - A)

y - 4 = \frac{2}{5}(11 - 4)

y - 4 = \frac{14}{5}

y = 2.8 + 4 = 6.8

Thus the correct answer is:

(3.8, 6.8)

7 0
3 years ago
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