You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40. How much did each item cost?
First let’s define a shirt as X and pants as Y!
In the first scenario, the equation will be 3X + Y =$32
In the second scenario, the equation will be 2X + 3Y = $40
Now because we have two different variables (X & Y) let’s solve for one of them (Ex: Y) to simplify the equations!
3X + Y= $32—> subtract 3X on both sides of the equation
-3X. - 3X
Net result: Y= 32- 3X
Now we can insert this into the second equation 2X + 3Y = $40 in order to solve for X variable
2X + 3(32-3X) = $40
2X + 96 - 9X = $40 —> simplify the equation
-7X + 96 = $40 —> substrate 96 from both sides
-7X = -56 —> divide both sides by -7
X= 8
Now reinsert 8= X into 3X + Y = $32
3(8) + Y = $32
24+ Y = $32 —> substract 24 from both sides
y = 8
ANSWER: X= 8, Y= 8
If I am wrong I am sorry >_<
I would say 1/12 ft but I might be wrong.
Step-by-step explanation:
Commutative means a + b = b + a
So, 4x + 3 = 3 + x
Associative means a + (b + c) = (a + b) + c
So, 6 + (9 + 7) = (6 + 9) + 7
Distributive means expand the bracket a * (b + c) = a*b + a*c
So, (4x + 3y + 2z) * 7 = 4x*7 + 3y*7 + 2z*7
Commutative is a + b = b + a
So, 15a + 15b = 15b + 15a
Answer:
(-4, 0)
Step-by-step explanation:
The x-intercept is when y = 0
Since y = 0 at x = -4, that is the row which reveals the x - intercept of the function.
So product means multiplication
so
x times y =2/3
one is 3/5 so
x times 3/5=2/3
x times 3/5=x(3/5)=2/3
x(3/5)=2/3
multiply both sdies by 5/3 to clear fraction
x(15/15)=(2/3)(5/3)
x(1)=(2 times 5)/(3 times 3)
x=10/9
the other number is 10/9 or 1 and 1/9