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2 years ago

How to solve this substitution

Mathematics

1 answer:

Lena [83]2 years ago

6 0

-5x+4y=11
substitute for x which is 5
(-5)(5)+4y=11

simplify :
4y-25=11

add 25 on both sides
4y-25=11
+25 +25
the 25 cancels out

so it would be 4y=36
and you divide both sides by 4

4/4 =36/4

which gives you (5,9)
x= 5 , y =9

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Solve Y+3/5 = 1 1/10

lesya [120]

Answer:

y = 1/2

Step-by-step explanation:

Y+3/5 = 1 1/10

Subtract 3/5 from both sides.

y = 1/2

3 0

2 years ago

X + y = 152, 8.5x + 12y = 1,656 How many hats were sold?

Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

$x+y = 152\\8.5x+12y=1656$

From equation 1:

$x = 152-y$

Putting the value of y in equation 2

$8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104$

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

$x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48$

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

6 0

2 years ago

Tom had 260 dollars to spend on 8 books. After buying them he had 12 dollars. How many much did each book cost?

fgiga [73]

You will subtract 12 from 260 and get 248 then you will divide 248 by 8 and get 31 dollars spent per book.

7 0

3 years ago

Evaluate the expression for = −3 and = 5. r^{-4} s^2

Butoxors [25]

If r = -3 and s = 5:
(r^-4)(s^2) = (-3^-4)(5^2) = (1/81)(25) = 25/81

If r = 5 and s = -3:
(r^-4)(s^2) = (5^-4)(3^2) = (1/625)(9) = 9/625

5 0

3 years ago

Read 2 more answers

Each of my rose bushes cost 24 gold coins plus a delivery fee of 16 gold coins if I have at most 1000 gold coins to spend how ma

OlgaM077 [116]

Answer:

25 rose bushes

Step-by-step explanation:

24 gold coins = rose bush

16 gold coins = per delivery

1000 total gold coins

24 + 16 = 40 gold coins

1000 / 40 = 25

4 0

3 years ago

How to solve this substitution​

How to solve this substitution