Answer:
x=5, y=2
Step-by-step explanation:
You simply write down what you see:
3x - 4y + 4x - 5y = 17
2x - 3y + 3x - 5y = 9
Then you simplify by grouping the x and the y terms:
7x - 9y = 17
5x - 8y = 9
Now you want to get equal amounts of x or y. Let's go for x. If we multiply the top eq with 5 and the bottom one with -7, we get:
35x - 45y = 85
-35x + 56y = -63
-------------------------+ now we can add them:
11y = 22 divide by -11
y = 2
So 7x - 18 = 17, x =5
Finally, it makes sense to double check by filling in these answers in the original equations, just to see if no mistakes were made:
3*5 - 4*2 = 7
4*5 - 5*2 = 10
7+10 = 17: ok!
2*5 - 3*2 = 4
3*5 - 5*2 = 5
4+5 = 9: ok!
Answer:
Liam has 3 whole pizza along with 1/3 of a pizza.
In decimal, Liam has 3.33 of Pizza.
Step-by-step explanation:
Given
Quantity of pizza with Martin = 5/6 of a pizza
Pizza with Liam = 4*Quantity of pizza with Martin
Pizza with Liam = 4*5/6 of a pizza
Pizza with Liam = 10/3 of a pizza = 3 1/3 of pizza.
Thus, Liam has 3 whole pizza along with 1/3 of a pizza.
In decimal Liam has 3.33 of Pizza.
139 + 30d = 13 + 51d
139 - 13 = 51d - 30d
126 = 21d
126/21 = d
6 = d
now lets check..
139 + 30d = 139 + 30(6) = 319
13 + 51d = 13 + 51(6) = 319
so on day 6, they will both cost $ 319
450 >_ 750 - 70x
450 >_ 750 - 70x
(subtract 750 on both sides)
-300 >_ -70x
(divide by -70 to get x alone, then flip the inequality sign)
4 2/7 <_ x
(round up to 5, you can’t have 2/7 of a person)
at least 5 people have to get off
hope this helped!
