You buy two shirts and one sweater for $60 and your sister gets one shirt and two sweaters for $75 how much is a sweater

$30 for a sweater

Step-by-step explanation:

Let's say x is shirts and y is sweaters.

2x+y=60

x+2y=75

We can see that a sweater costs $15 more than a shirt.

You can sort of just guess and check since you cannot solve this using equations.

Let's guess shirts cost $15 and sweaters cost $30

(2×15)+30=

30+30=

60

These prices are correct for our first equation.

15+(30×2)=

15+60=

75

These prices are correct for our second equation.

If the prices both fit, then this must be the correct answer for both of the prices.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

the equation is not included but the answer is (1.50, 2.00, 2.75)

step-by-step explanation: