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choli [55]
2 years ago
11

-4x+y=3 and 2x-y=12. which of the options represents the resulting equation after an equivalent expression for yw is substituted

into the second equation. Odessyware!
Mathematics
1 answer:
forsale [732]2 years ago
4 0

Answer:

2x - (3 + 4x) = 12

x = -7.5

y = -27

Step-by-step explanation:

-4x + y = 3 (1)

2x - y = 12 (2)

From (1)

y = 3 + 4x

Substitute y = 3 + 4x into (2)

2x - y = 12 (2)

2x - (3 + 4x) = 12

2x - 3 - 4x = 12

2x - 4x = 12 + 3

-2x = 15

x = 15/-2

x = -7.5

Substitute x = -7.5 into (2)

2x - y = 12 (2)

2(-7.5) - y = 12

-15 - y = 12

-y = 12 + 15

- y = 27

y = -27

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A boy, who is 5 ft. 6 in. tall, casts a shadow 2 ft long. Find the height of the pole if it casts a shadow 2 yards long.
GalinKa [24]

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2 feet * 3 = 6 feet

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6 0
3 years ago
Read 2 more answers
Can someone please help me?
Katyanochek1 [597]
The matrix represents the system:

-3x+5y=15

2x+3y=-10, which is choice c. 


We can see it more clearly from the way we multiply matrices, as follows:

\[
  \left[ {\begin{array}{cc}
   -3 & 5 \\
    \ 2  & 3 \\
  \end{array} } \right]
\] \cdot  \[
  \left[ {\begin{array}{c}
   x \\
    y \\
  \end{array} } \right]
\]= \left[ {\begin{array}{c}
   -3\cdot x+5\cdot y \\
    2\cdot x+3\cdot y \\
  \end{array} } \right]
\]= \[ \left[ {\begin{array}{c} 15 \\ -10 \\ \end{array} } \right] \]

Answer: C
7 0
3 years ago
Sapphire and Trinity are shopping for school clothes. Sapphire has $50 and a coupon for a $10 discount at a boutique where each
Minchanka [31]

Answer:

susan's: 10/3

Bonnie's:5

Step-by-step explanation:

6 0
3 years ago
Nancy's Cupcakes recorded how many cupcakes it recently sold of each flavor.​
Alexeev081 [22]

Answer:

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7 0
2 years ago
Abel saved 43 more nickels than dimes. After he spent 17 dimes he had twice as many nickels than dimes. How many coins did he ha
Alborosie

Answer:

180 coins

Explanation:

N = number of nickels (no nickels spent)

D = number of dimes initially saved

D' = number of dimes left after spending

1) N = D + 43

2) D' = D - 17

3) N = 2*D' = 2*(D - 17)

Set equations 1) and 3) equal to each other and solve for D:

D + 43 = 2*(D - 17)

D + 43 = 2*D - 34

D = 43 + 34 = 77

N = D + 43 = 77 + 43 = 120 nickels left

D' = D - 17 = 77 - 17 = 60 dimes left

Total coins left = 120 + 60 = 180 coins (I hope this is not too confusing for you)

8 0
2 years ago
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