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GaryK [48]
2 years ago
7

What is y=-4/3x +6. y=2

Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
5 0

The given equation is:
[/tex]y=-\frac{4}{3}x+6 [/tex] and we need to evaluate this for y=2.
So, first step is to plug in 2 for y in the above equation. Therefore,

2=-\frac{4}{3} x+6
2*3=-\frac{4}{3} x*3+6*3 Multiply each sides by common denominator 3
6=-4x+18
6-18= -4x Subtract 18 from each sides.
-12=-4x
-\frac{12}{-4} =-\frac{4x}{-4}
So, x=3

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Solve the linear system using substitution
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Hello there!

3x - y = 3
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We need to solve 3x - y = 3 for y

Let start by adding -3x to both sides

3x - y = 3

3x - 3x - y = 3 - 3x

-y = 3 - 3x
We cannot leave the variable with a negative sign. We must multiply both sides by -1

-y * -1= (3 - 3x)-1

y = 3x - 3

Substitute 3x -3 for y in -x+y=3

-x + y = 3

-x + 3x - 3 = 3

2x - 3 = 3

2x = 3 + 3

2x = 6

x = 6/2

x = 3

Now substitute 3 for x in y=3x -3

y = 3x - 3

y = 3(3) - 3

y= 9 - 3

y= 6

Thus,

The answer is x=3 and y=6

It is always my pleasure to help students like you :)

As always, I am here to help!


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