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Margarita [4]
3 years ago
11

PLZ HELP!!!! A pair of equations is shown below: y = 6x − 4 y = 5x − 3 Part A: In your own words, explain how you can solve the

pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)

Mathematics
1 answer:
Goryan [66]3 years ago
6 0

Answer:

Step-by-step explanation:

y = 6x − 4

y = 5x − 3

A: chose a value for x(input) and get the out put (y) because the equation already in the slope intercept mode:y=mx+b

x                   y=6x-4                  y=5x-3

1                    y=2                        y=2

2                    y=8                        y=7

0                     -4                            -3

slope  :

y=6x-4    slope is 6            y intercept(0,-4)

y=5x-3      slope is 5          y intercept (0,-3)

solution of the pair of equation is  the point of intersection :

6x-4=5x-3

6x-5x=-3+4

x=1   and y=6x-4   ⇒ y=6-4=2

<h2>(1,2)</h2>

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Sauron [17]

The value of x, y and z from the system of equation are -1, -8 and 5 respectively.

Data;

  • -2x + 6y + 3z = -31
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<h3>System of Equation</h3>

To solve this problem, we have to solve the system of equation using substitution method.

From equation (iii)

2z = 10\\z = 5

let us substitute the value of z into equation (ii)

-3y + 7z = 59\\z = 5\\-3y + 7(5) = 59\\-3y + 35 = 59\\-3y = 59 - 35\\-3y = 24\\y = -8

Let's substitute the value of x and y into equation (i)

-2x + 6y + 3z = -31\\y = -8, z = 5\\-2x + 6(-8) + 3(5) = -31\\-2x - 48 + 15 = -31\\-2x - 33 = -31\\-2x = -31 + 33\\-2x = 2\\x = -1

From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.

Learn more on system of equations here;

brainly.com/question/14323743

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Answer:

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Step-by-step explanation:

Source: trust me

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