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Svetradugi [14.3K]
4 years ago
10

​−8x+4y=24 ​−7x+7y=28 ​​ What is the solution?

Mathematics
1 answer:
SVETLANKA909090 [29]4 years ago
5 0
​−8x + 4y = 24 -- (1)
​−7x + 7y = 28 -- (2)

Eqn (1) & (2) are simplified as

y - 2x = 6 -- (3)
y - x = 4 -- (4)

By making y the subject of formula in (4), we have

y = x + 4 -- (5)

Substitute x + 4 for y in (3), then

x + 4 - 2x = 6
x - 2x = 6 - 4
- x = 2
x = - 2.

Substitute - 2 for x in (5), then

y = - 2 + 4
y = 2.

Therefore, (x, y) = (- 2, 2) ...Ans.
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What addition statement does this show?
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D. –5.2 + (–6.4) = –11.6

Step-by-step explanation:

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2 years ago
Which statement correctly explains how Dana can solve the following system of linear equations for x using the elimination metho
Vanyuwa [196]
1. The correct statement is the first one, which is: <span>Add the two equations, solve for y, and then substitute –1 for y to find x.
</span>
 2. Therefore, you have the following system of equations:
<span>
 4x+8y=20
 -4x+2y= -30

 3. When you a</span>dd the two equations, and clear the variable "y", you obtain:

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 y=-1

 4. Now, you must substitute -1 for y (y=-1) to find x, as below:

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6 0
4 years ago
Read 2 more answers
A building is 30 feet high. At a distance away from the building, an observer notices that the angle of elevation to the top of
yKpoI14uk [10]

Answer

As per the statement:

Height of the building(h)= 30 feet

Angle of elevation (\theta)= 41°

We have to find the distance of observer from the base of the building.

Using tangent ratio:

\tan \theta= \frac{\text{Opposite side}}{\text{Adjacent side}}

You can see the diagram as shown below.

Opposite side = height of the building = 30 feet.

Adjacent side = distance of observer from the base of the building = x (let)

Then;

\tan 41^{\circ}= \frac{30}{x}

0.86928673781 = \frac{30}{x}

By cross multiply we have;

0.86928673781x = 30

Divide by 0.86928673781 both sides we get;

x = 34.51 m

Therefore, the distance of observer from the base of the building is 34.51 m


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3 years ago
At a carnival luke bought 33 tickets . if he used 3 tickets trying to win the ring toss game,what is the ratio of tickets he has
Leno4ka [110]
30:3
I hope this helps you.
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4 years ago
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