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White raven [17]
3 years ago
9

Use the elimination method to solve the system of equations. 3x+4y=8 X-Y=12

Mathematics
2 answers:
HACTEHA [7]3 years ago
8 0

Answer: D. (8, -4)

Step-by-step explanation:

3x + 4y = 8 --------------(1)

x - y = 12--------------(2)

eqn(2) × 3

3x - 3y = 36-----------(4)

eqn(4) - eqn(1)

-7y = 28

Divide bothside by -7

y = -4

Again, multiply eqn(2) by 4

4x - 4y = 48 ---------------(5)

eqn(5) + eqn(1)

7x = 56

Divide bothside by 7

x = 8

Therefore x=8 and y=-4

Margarita [4]3 years ago
5 0

STEP 1: Multiply second equation by -3.

After multiplying we have the following system:

3x+4y−3x+3y=8=−36

STEP 2: add the two equations together to eliminate x from the system.

7y=−28

STEP 3: find y

<u>y=−4</u>

<u></u>

STEP 4: substitute the value for y into the original equation to solve for x.

3x+4(−4)=8

<u>x=8</u>

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3 years ago
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Phoenix [80]

Answer:

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Step-by-step explanation:

This is consider a linear pattern (arithmetic pattern).

We know this because it is either going up or down by the same number each time. It's going down by 10 in this case.

So -10 is the slope of this linear pattern.

The equation for a linear pattern is:

y=mx+b

where x represents the position the term is in

and

where y represents the actual term

and

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So we have y=-10x+b.

(x,y)

(term position in sequence, actual term)

(1,140)

(2,130)

(3,120)

(4,110)

We can find b by using a number with it's position in the sequence (that is plug in one of your points above).

y=-10x+b

140=-10(1)+b

140=-10+b

150=b (after adding 10 on both sides)

The explicit equation for the sequence is y=-10x+150.

They probably prefer you to write: a_n=-10n+150 instead.

7 0
3 years ago
Please<br> Helppp!!<br><br><br> Geometry
Mademuasel [1]

Answer:

m∠6 = 54°

Hope this helps!

Step-by-step explanation:

( 13x+9 ) and angle 4 are congruent meaning the same. That means angles 5 and 8 are also congruent to ( 13x + 9 ).

Angle 5 or angle 8 are Supplementary to angle ( 5x + 9 ) so a Supplementary angle is 180° and we need to find out x.  ( 13x + 9 ) + ( 5x + 9 ) = 18x + 18.

Because Supplementary angles equal 180°, 18x + 18 = 180

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Because ∠6 is congruent to angle ( 5x + 9 ), ∠6 = ( 5(9) + 9 )

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2 years ago
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Step-by-step explanation:

because why not you know

6 0
3 years ago
A sale of wedding gowns is marked at £168, which includes a reduction of 25%. What was the pre-sale price?
salantis [7]

The pre-sale price of the wedding gown is £224.

A reduction decreases the price of an item. As a result of the reduction, the wedding gown would be sold cheaper. The wedding gown would cost  pay 75%(100 - 25%) of the pre-sale price.

This equation can be used to determine the pre-sale price of the wedding gown:  discounted price / 75%

£168  / 0.75 = $224

To learn more about how to determine the price of an item, please check: brainly.com/question/25717996

6 0
2 years ago
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