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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 substitution 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

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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

Part A:The solution of the pair of  the equation is,x=1 and y=- -2.

Part B:  If the two equations are graphed, at point (1,-2) will the lines representing the two equations intersect.

How to get the slope intercept form of a straight line equation?

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:

y = mx +c

A pair of equations is shown below:

y = 3x − 5 -------1

y = 6x − 8 --------2

Substitute the value of y from the equation 1 into equation 2;

3x − 5=6x − 8

3x=-5+8

3x=3

x=1

Put the value of x in the equation 1;

y = 3x − 5 -------1

y=3(1)-5

y=- -2

Hence,the solution of the pair of  the equation is,x=1 and y=- -2 and at point (1,-2) will the lines representing the two equations intersect.

To learn more about slope intercept form refer:

https://brainly.com/question/2503591

#SPJ2

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