Respuesta :
STEP 1
x= cost of shirt
y= cost of tie
Set up two equations (one for each store), then solve for one variable by using the elimination method (or whichever method you are comfortable with).
FIRST STORE EQUATION
6x + 3y= $79.50
SECOND STORE EQUATION
3x + 2y= $41.00
STEP 2
Solve by elimination; multiply second equation by -2 to eliminate the x term and solve for y.
multiply second equation by -2
(-2)(3x + 2y)= (-2)($41.00)
-6x - 4y= -82.00
add first equation and multiplied second equation together
6x + 3y= 79.50
-6x - 4y= -82.00
x term cancels out
-y= -2.50
divide both sides by -1
y= $2.50 per tie
STEP 3
substitute y value in either original equation to solve for x
6x + 3y= 79.50
6x + 3(2.50)= 79.50
6x + 7.50= 79.50
subtract 7.50 from both sides
6x= 72.00
divide both sides by 6
x= $12.00 per shirt
CHECK
using opposite original equation as step 3
3x + 2y= $41.00
3(12.00) + 2(2.50)= 41.00
36.00 + 5.00= 41.00
41.00= 41.00
ANSWER: Each shirt costs $12.00 and each tie costs $2.50.
Hops this helps! :)
x= cost of shirt
y= cost of tie
Set up two equations (one for each store), then solve for one variable by using the elimination method (or whichever method you are comfortable with).
FIRST STORE EQUATION
6x + 3y= $79.50
SECOND STORE EQUATION
3x + 2y= $41.00
STEP 2
Solve by elimination; multiply second equation by -2 to eliminate the x term and solve for y.
multiply second equation by -2
(-2)(3x + 2y)= (-2)($41.00)
-6x - 4y= -82.00
add first equation and multiplied second equation together
6x + 3y= 79.50
-6x - 4y= -82.00
x term cancels out
-y= -2.50
divide both sides by -1
y= $2.50 per tie
STEP 3
substitute y value in either original equation to solve for x
6x + 3y= 79.50
6x + 3(2.50)= 79.50
6x + 7.50= 79.50
subtract 7.50 from both sides
6x= 72.00
divide both sides by 6
x= $12.00 per shirt
CHECK
using opposite original equation as step 3
3x + 2y= $41.00
3(12.00) + 2(2.50)= 41.00
36.00 + 5.00= 41.00
41.00= 41.00
ANSWER: Each shirt costs $12.00 and each tie costs $2.50.
Hops this helps! :)
Answer: the correct answer is $12.00 per shirt
Step-by-step explanation: