At one store, 5 pairs of jeans and 2 sweatshirts costs $207, while 3 pairs of jeans and 4 sweatshirts costs $169. find the cost of one sweatshirts

One pair of jeans cost $35.

One sweatshirt cost $16.

Step-by-step explanation:

j = jeans

s = sweatshirts

5j + 2s = $207

3j + 4s = $169

System of equations. You now must choose to either cancel out "j" or "s".

I'm going to cancel out the "s".

In order to cancel out the "s" you must make the number in front of each s the same number, but opposite. Meaning one is negative, and the other is positive.

2s and 4s. You can get 2 to 4 by multiplying by 2. And you want it to be negative. So you'll be multiplying the ENTIRE top equation by -2.

-2(5j+2s=207)

-2 x 5j = -10j

-2 x 2s = -4s

-2 x 207 = -414.

Rewrite the equation.

-10j - 4s = -414.

3j + 4s = 169.

You can now cancel out the "s"'s by adding them together. -4 + 4 = 0.

Now, you must add the other numbers, both "j"s and both of the totals.

-10j + 3j = -7j.

-414 + 169 = -245.

Put those numbers back into the equation..

-7j = - 245.

Divide both sides by -7 to get j by itself.

j = 35; each pair of jeans is worth $35.

Now, solve for "s" by plugging the value of j (35) into either of the ORGINAL equations. (5j + 2s = $207  OR 3j + 4s = $169)

5j + 2s = 207.

5(35) + 2s = 207.

175 + 2s = 207

Subtract 175 from both sides.

2s = 32

Divide both sides by 2.

s = 16; each sweatshirt costs $16.

$16.02

Step-by-step explanation:

x=Jeans y=Sweatshirts

5x+2y=207

3x+4y=169

3x=169-4y

3x/3=(169-4y)/3

x=56.33-1.33y

5(56.33-1.33y)+2y=207

281.66-6.66y+2y=207

281.66-207=4.66y

74.66=4.66y

74.66/4.66=y

y=16.02

the answer is 1/4

step-by-step explanation:

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x