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3 years ago

Solve by subtraction y=-2x-4 y=2x-12 please show work!

Mathematics

2 answers:

andrew11 [14]3 years ago

5 0

Answer:

(2, -8)

Step-by-step explanation:

Add the two equations to solve. The x-values are cancelled out. Solve for y.

y = -2x - 4

+ y = 2x - 12

2y = -16

y = -8

Now, plug in the y-value into one of the equations to solve for x.

y = 2x - 12

-8 = 2x - 12

(-8) + 12 = (2x - 12) + 12

4 = 2x

(4)/2 = (2x)/2

x = 2

The solution is (2, -8).

Luden [163]3 years ago

3 0

Answer:

x=2, y = -8

Step-by-step explanation:

y=-2x-4

y=2x-12

-----------------

Subtract the two equations

y=-2x-4

-y=-2x+12

-----------------

0 = -4x +8

Subtract 8 from each side

-8 = -4x+8-8

-8 = -4x

Divide by -4

-8/-8 = -4x/-4

2 =x

Then solve for y

y = -2x-4

y = -2(2) -4

y = -4-4

y = -8

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2 years ago

There are premium tickets costing $99 each and rest are regualr tickets costing $25 each. A pile of 120 tickets have a total val

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Answer:

There are 38 premium tickets and 82 regular tickets in a pile.

Step-by-step explanation:

Given,

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Solution,

Let the number of premium tickets be x.

And the number of regular tickets be y.

Total number of tickets is the sum of total number of premium tickets and total number of regular tickets.

So the equation can be written as;

$x+y=120\ \ \ \ \ equation\ 1$

Again,total amount is the sum of total number of premium tickets multiplied by cost of each premium ticket and total number of regular tickets multiplied by cost of each regular ticket.

So the equation can be written as;

$99x+25y=5812\ \ \ \ equation\ 2$

Now We will multiply equation 1 by 25 we get;

$x+y=120\\25(x+y)=120\times25\\25x+25y= 3000 \ \ \ \ equation\ 3$

Now Subtracting equation 3 from equation 2 we get;

$(99x+25y)-(25x+25y)=5812-3000\\\\99x+25y-25x-25y=2812\\\\74x=2812\\\\x=\frac{2812}{74}=38$

We will now substitute the value of x in equation 1 we get;

$x+y=120\\38+y=120\\y=120-38\\y=82$

Hence There are 38 premium tickets and 82 regular tickets in a pile.

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3 years ago

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2 years ago

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3 years ago

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natulia [17]

Answer:

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6 0

2 years ago

Read 2 more answers