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dangina [55]
2 years ago
8

What is the value of y in the solution to the system of equations?

Mathematics
2 answers:
Molodets [167]2 years ago
6 0

Answer: y=32/5

Step-by-step explanation:

icang [17]2 years ago
3 0

Answer:

\frac{32}{5}.

Step-by-step explanation:

We have been given a system of equations and we are asked to find the value of y in the solution to the given system.

x+y=1...(1)

2x-3y=-30...(2)

To solve our given system of equation, we will use substitution method. From equation (1) we will get,

x=1-y

Upon substituting this value in equation (2), we will get:

2(1-y)-3y=-30

Using distributive property, we will get:

2-2y-3y=-30

2-5y=-30

2-2-5y=-30-2

-5y=-32

Now, we will divide both sides of our equation by -5.

\frac{-5y}{-5}=\frac{-32}{-5}

y=\frac{32}{5}

Therefore, the value of y is \frac{32}{5}.

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+7p – 1 – p + 5<br> expression is simpliest form
Yuki888 [10]

Answer:

6p + 4

Step-by-step explanation:

7p - 1 - p + 5

~Combine like terms

6p + 4

Best of Luck!

8 0
2 years ago
The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?
vovikov84 [41]

Answer:

The first term is:

  • a_1=-61

Step-by-step explanation:

The arithmetic sequence is defined by

a_n=a_1+\left(n-1\right)d

where

a_1 is the first term

d is the common difference

as

the 17th term of an arithmetic sequence is 51.

i.e. a_{17}=51

so

a_n=a_1+\left(n-1\right)d

a_{17}=a_1+\left(17-1\right)d        

51=a_1+\left(17-1\right)7         ∵ n = 17, a_{17}=51 , d=7

a_1+112=51                   ∵ \left(17-1\right)\cdot \:\:7=112

a_1=-61

Therefore, the first term is:

  • a_1=-61
8 0
2 years ago
5. Write two or three sentences that describe how a chart differs from a table. -please help meh T-T
igomit [66]

Answer:

Key difference: Tables represent facts and figures in a row and column format. Charts represent data in a more graphical manner which may include lines, bars and circles.

CHART-graphical display of information wherein the information is illustrated in symbols such as bars, lines, or slices.

TABLE- a means of displaying data or information in rows and columns.

5 0
3 years ago
(4x + 4)(ax – 1) – x2 +4
Oksana_A [137]

Answer:

b=-3

Step-by-step explanation:

If the expression simplifies to bx that means the x^{2} terms and the constant terms must be cancel out.

Simplify it first.

(4x+4)(ax-1)-x^{2} +4\\=(4ax^{2} -4x+4ax-4)-x^{2} +4\\=4ax^{2} -x^{2} -4x+4ax-4+4\\=4ax^{2} -x^{2} -4x+4ax

We know –4 + 4 will cancel out. If we simplify this expression to only an x term, then the x^{2} terms should be cancelled. Therefore, we say that 4ax^2 – x^2 = 0.

4ax^{2} -x^{2} =0\\x^{2} (4a-1)=0\\4a-1=0\\4a=1\\a=\frac{1}{4}

If we put a = ¼, then we can find the value of b:

=4(\frac{1}{4} )x^{2} -x^{2} -4x+4(\frac{1}{4} )x\\=x^{2} -x^{2} -4x+x\\ (cancel out x^{2} terms)\\

=-3x

bx=-3x\\      if the  expression is equivalent to bx

Therefore, b = –3.

8 0
3 years ago
The Golden Gate Bridge, which connects San Francisco to Marin County, is one of the most famous suspension bridges in the U.S. T
Wittaler [7]

Answer:

90

Step-by-step explanation:

3 0
2 years ago
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