43. Consider the equation 4(x-8)+y=9(x-2)

[Part 1]

Find an expression for y of the form ax+b expression for y such that the equation has infinitely many solutions. Is there more than one such solution? Explain your reasoning using complete sentences.


[Part 2]
Find an expression for y of the form ax+b expression for y such that the equation has no real solutions. Is there more than one such solution? Explain your reasoning using complete sentences.

Respuesta :

The expression of the equation 4(x - 8) + y = 9(x - 2) in slope intercept form is; y = 5x + 14

How to write an equation in Slope Intercept form?

We want to express 4(x - 8) + y = 9(x - 2) in slope intercept form of y = mx + b.

Let us expand the equation to get;

4x - 32 + y = 9x - 18

Isolate y to get;

y = 9x - 4x - 18 + 32

y = 5x + 14

Thus;

Slope = 5

y - intercept = 14

x - intercept = -2.8

Read more about Slope Intercept Form at; https://brainly.com/question/1884491

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