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3 years ago

What is the solution of the system? Use elimination.

2 answers:

5 0

Good morning Stacy

3x - 4y = -24
x + y = -1
We need to solve x + y = -1 for x
x = -1 - y( I transferred the y in the right side)
Substitute -y -1 for x in 3x -4y = -24
3x - 4y = -24
3(-y-1) -4y = -24
You just need to simplify
-7y -3 = -24
-7y = -24 + 3
-7y = -21
y= -21/-7
y= 3
Now substitute 3 for y in x= -y -1
x= -y-1
x = -3 -1
x= -4

Answer : x = -4 and y=3
The correct option is D

I hope that's help and if you have questions about my answer please ask. Thx

denis-greek [22]3 years ago

4 0

Eliminate y's
multiply second equaiton by 4
4x+4y=-4

add to first equation

3x-4y=-24
<u>4x+4y=-4 +</u>
7x+0y=-28

7x=-28
divide both sides by 7
x=-4
sub back

x+y=-1
-4+y=-1
add 4 to both sides
y=3

(x,y)
(-4,3)
D is answer

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3 years ago

Louis wants to give \$15 to help kids who need school supplies. He also wants to buy a pair of shoes for \$39.

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\begin{aligned} 15 + 39 &=& \\ 10 + 5 + 30 + 9 &=&\\ 10 + 30 + 5 + 9 &=&\\ 40 + 10 + 4 &=&\\ 54. \end{aligned}

So Louis needs to save \$54.

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4 years ago

What is the sum of x+y when x = –9.1 and y = 5.6?

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4 years ago

Each sequence below gives an explicit formula. Write the first five terms of each sequence. Then, write a recursive

Bas_tet [7]

Answer:

The first five values are 12, 14, 16, 18 and 20

The recursive formula is as follow

$\left \{ {{a_{1} =12} \atop {a_{n} =a_{n-1} } + 2} \right.$

Step-by-step explanation:

Since we need to find the first 5 values we start with n = 1 to n = 5. Note that we don't start from n = 0 as the question states that n ≥ 1.

For the first 5 values we just replace the value of n with 1, 2, 3, 4 and 5 and calculate the answer

$a_{1} = 2(1) + 10 = 12\\ a_{2} = 2(2) + 10 = 14\\ a_{3} = 2(3) + 10 = 16\\ a_{4} = 2(4) + 10 = 18\\ a_{5} = 2(5) + 10 = 20$

The first five values are 12, 14, 16, 18 and 20

A recursive formula is one that

a) Mentions the initial term

b) provides a formula connecting the previous term to the existing term.

Since we know the first term is 12, i.e $a_{1} = 12$ and we know that the difference between consecutive terms is 2 we can conclude that the recursive formula is made up of the following two formulas

$a_{1} = 12$

$a_{n} = a_{n-1} + 2$

The over all formula is as follow

$\left \{ {{a_{1} =12} \atop {a_{n} =a_{n-1} } + 2} \right.$

8 0

3 years ago