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forsale [732]
2 years ago
12

Can someone please help me??

Mathematics
2 answers:
Fantom [35]2 years ago
3 0

Answer:

b=3, y=6

Step-by-step explanation:

Label the 2 equations:

2b +6y= 42 -----(1)

2b +4y= 30 -----(2)

(1) -(2):

(2b +6y) -(2b +4y)= 42 -30

2b +6y -2b -4y= 12

2y= 12

y= 12 ÷2 <em>(</em><em>÷</em><em>2</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

y= 6

Susbt. y=6 into (2):

2b +4(6)= 30

2b +24=30

2b= 30 -24 <em>(</em><em>-24</em><em> </em><em>on</em><em> </em><em>b</em><em>o</em><em>t</em><em>h</em><em> </em><em>sides</em><em>)</em>

2b= 6

b= 6 ÷2

b= 3

Alekssandra [29.7K]2 years ago
3 0

Answer:

y = 6, b = 3

Step-by-step explanation:

Since both equations have 2b in them, subtracting them gets you a quick result because the 2b-2b cancels out!

2b + 6y = 42

2b + 4y = 30

------------------ -

       2y = 12

         y = 6

Then 2b = 42 - 36 = 6, so b = 6/2 = 3

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2 years ago
-3x + 3y = 4<br> -x+ y = 3
Natalka [10]

Answer:

No solution

Step-by-step explanation:

-3x + 3y = 4

-x + y = 3

<u>Solve the equation for x:</u>

<u>Move the variable to the right side and change its sign</u>

-x + y = 3

-x = 3 - y

<u>Change the signs on both sides of the equation</u>

-x = 3 - y

x = -3 + y

<u>Substitute the given value of x into the equation -3x + 3y = 4</u>

-3x + 3y = 4

x = -3 + y

-3(-3+y)+3y=4

<u>Solve the equation for y</u>

-3(-3+y)+3y=4

y = 0

There is no solution for y.

And since there's no solution for y, the system has no solution.

6 0
3 years ago
The difference of two numbers is 33. The sum of the first number and four times the second number is -2. What is the larger of t
defon

Answer:

The larger of the two is 44.67

Step-by-step explanation:

let the first number=x

let the second number=y

We can derive a system of equations using the mathematical statements

Their sum is 33:

x+y=33( call this equation 1)

Sum of first number and four times the second is -2:

x+4y=-2(call this equation 2)

Since the integer coefficients of x in both equations are the same we can quickly subtract one from the other to eliminate it

For this explanation, I choose to subtract equation 1 from 2

(x+4y=-2)-(x+y=33)=3y=-35

y=-35/3

Now plug in the value of y into any equation for that of x. Say we plug into equation 1

x+(-35/3)=33

x-35/3=33( multiply through by 3)

3x-35=99

3x=99+35

3x=134

x=134/3

Therefore,x=134/3 or 44.67 and y=-35/3 or -11.67

7 0
3 years ago
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