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Dafna11 [192]
2 years ago
15

A pair of equations is shown below: y = 3x − 5 y = 6x − 8 Part A: Explain how you will solve the pair of equations by substituti

on or elimination. Show all the steps and write the solution. (5 points) Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points) Source StylesNormal
Mathematics
2 answers:
Scrat [10]2 years ago
7 0

Answer:

Intersect/Solution at (1, -2)  

step by step

Equation 1: y = 3x - 5

Equation 2: y = 6x - 8

Step 1 Mutliply each side of equations one by -2

New Equation 1: -2y = -6x + 10

New Equation 2: y = 6x -8

Add the Equations: -y = +2

Multiply each side by -1 and you'll get that y = -2

Plug in -2 to either equation: -2 = 3x - 5

add 2 to each side 0 = 3x -3

add 3 to each side 3x = 3

divide by 3 and you'll get that x = 1

Step-by-step explanation:

kirill [66]2 years ago
3 0

Answer:

Intersect/Solution at (1, -2)

Step-by-step explanation:

Equation 1: y = 3x - 5

Equation 2: y = 6x - 8

Step 1 Mutliply each side of equations one by -2

New Equation 1: -2y = -6x + 10

New Equation 2: y = 6x -8

Add the Equations: -y = +2

Multiply each side by -1 and you'll get that y = -2

Plug in -2 to either equation: -2 = 3x - 5

add 2 to each side 0 = 3x -3

add 3 to each side 3x = 3

divide by 3 and you'll get that x = 1

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Likurg_2 [28]
Answer : Option D





Step by step explanation :
There is a 50-50 chance of snowing in Hawaii.
4 0
2 years ago
Pls help many thanks
salantis [7]

So, let's make these two values improper fractions so they're easier to work with. 4+\frac{1}{3}=\frac{12}{3}+\frac{1}{3}=\frac{13}{3} 3+\frac{1}{2}=\frac{6}{2}+\frac{1}{2}=\frac{7}{2}

So, to get the rate he grew in those months we have:

\frac{\frac{13}{3} \text{inches}}{\frac{7}{2}\text{months}} =\frac{26\text{inches}}{21\text{months}}

And to get the rate he grew in one month we have to divide both our numerator and our denominator by 21 to get:

\frac{\frac{26}{21} \text{inches}}{\text{month}}\approx \frac{1.24\text{inches}}{\text{month}} aka he grew 1.24 inches in a month.

7 0
2 years ago
Read 2 more answers
Which of these strategies would eliminate a variable in the system of equations?
Lubov Fominskaja [6]

Answer:

B

Step-by-step explanation:

2x-5y=13.........(1) × 3

-3x+2y=13.......(2) × 2

6x - 15y = 39

-6x + 4y = 26

Adding

6x - 6x - 15y + 4y = 13 + 13

5 0
3 years ago
Read 2 more answers
Please help with math question
Naddik [55]
1- Solution using graphs:
Take a look at the attached images.
The red graph represents the first given function while the blue graph represents the second given function.
We can note that the two graphs are the same line (they overlap).
This means that any chosen point on one of them will satisfy the other.
This means that there are infinite number of solutions to these two equations.

2- Solution using substitution:
The first given equation is:
y = -5x + 3 ...........> equation I
The second given equation is:
2y + 10x = 6 ...........> equation II

Substitute with I in II and solve as follows:
2(-5x+3) + 10x = 6
-10x + 6 + 10x = 6
0 = 0
This means that there are infinitely many solutions to the given system of equations.

Hope this helps :)

3 0
2 years ago
What is 240,000 written as a whole number multiplied by a power of 10?
bonufazy [111]

240,000  =  24 x 10⁴

240,000  =  240 x 10³

7 0
3 years ago
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