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yawa3891 [41]
2 years ago
14

7x + 8y = 25 9x + 10y =35 elimination method please​

Mathematics
1 answer:
djverab [1.8K]2 years ago
3 0

7x +8y = 25 ~~~....(i)\\\\9x +10y = 35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \dfrac 79 ~ \text{and do (ii) - (i):}\\\\\dfrac 79 (9x +10y) - (7x +8y) = \dfrac 79 (35) - 25\\\\\\\implies 7x +\dfrac{70y}9 - 7x -8y = \dfrac{245}9 -25\\\\\\\implies - \dfrac{2y}9 =  \dfrac{20}9\\\\\\\implies -2y =20\\\\\implies y =-10\\\\\text{Substitute}~ y = -10~ \text{in equation (i):}\\\\\\7x +8(-10) = 25\\\\\implies 7x  = 25 +80\\\\\implies 7x = 105 \\\\\implies x =15\\\\

\\\text{Hence}~ (x,y) = (15,-10)

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I need help on this
Tasya [4]

Answer:

TOTAL TAX IS: $19.25

TOTAL PRICE IS: $294.25

MONEY LEFT IS: $135.75

Step-by-step explanation:

First, you do a proportion:

?/275 = 7/100

the ?/275 represents how much money in $275

the 7/100 represents 7% (7 hundredths)

then you cross multiply:

275 x 7 = 1925

then you divide:

1925 divided by 100 = 19.25

<em><u>So $19.25 is the tax amount.</u></em>

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To get the total price, you add:

Tax ($19.25) + Cost($275) = $294.25

<u><em>$294.25 is the total amount that Anna has to pay.</em></u>

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To get what Anna has left over, you subtract:

Has($430) - Spend($294.25) = $135.75

<u><em>Anna has $135.75 left.</em></u>

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I hope this helped you a lot!

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3 0
3 years ago
Explain why every square is a regular polygon?
a_sh-v [17]
Because all sides of a square are equal. Regular polygons always have equal sides.
8 0
3 years ago
Find the sum (3.2+4x)+(18.25+6x)=
tatiyna

Answer:    -2.145

Step-by-step explanation:

(3.2+4x)+(18.25+6x)=

Simplifying

(3.2 + 4x) + (18.25 + 6x) = 0

Remove parenthesis around (3.2 + 4x)

3.2 + 4x + (18.25 + 6x) = 0

Remove parenthesis around (18.25 + 6x)

3.2 + 4x + 18.25 + 6x = 0

Reorder the terms:

3.2 + 18.25 + 4x + 6x = 0

Combine like terms: 3.2 + 18.25 = 21.45

21.45 + 4x + 6x = 0

Combine like terms: 4x + 6x = 10x

21.45 + 10x = 0

Solving

21.45 + 10x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21.45' to each side of the equation.

21.45 + -21.45 + 10x = 0 + -21.45

Combine like terms: 21.45 + -21.45 = 0

0 + 10x = 0 + -21.45

10x = 0 + -21.45

Combine like terms: 0 + -21.45 = -21.45

10x = -21.45

Divide each side by '10'.

x = -2.145

Simplifying

x = -2.145

8 0
4 years ago
Read 2 more answers
In △XYZ, m∠X = 27° and m∠Y = 48°. Which gives the sides of the triangle in order from shortest to longest?
Crazy boy [7]

Answer:

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Step-by-step explanation:

Now, to answer this question, what we must know is that the side facing the largest angle is the largest while the side facing the smallest is the smallest.

What i’m saying in essence is that the bigger the angle faced, the larger the side.

Now since we have 3 angles in a triangle that adds up to 180

we have 27 and 48 already, the third side would be 180-27-48 = 105

So which side faces which angle?

Let’s have a diagrammatic representation of the said triangle.

Check this in the attachment please

The longest side is thus z, followed by y and lastly x

3 0
3 years ago
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