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3 years ago

What Is 4x+6y=48 and what is the general form and x intercept and y intercept and slope and factored form?

Mathematics

1 answer:

Vladimir [108]3 years ago

4 0

Given equation : 4x+6y=48 .

The general form of the linear equation is ax +by =c.

The given equation is already in general form.

Let us find x-intercept.

Plugging y =0 in given equation.

4x+6(0)=48 .

4x +0 = 48

4x = 48

Dividing both sides by 4, we get

4x/4 = 48/4

x = 12.

<h3>Therefore, x-intercept is (12,0).</h3>

Let us find y-intercept.

Plugging x =0 in given equation.

4(0)+6y=48 .

6y = 48

Dividing both sides by 6, we get

6y/6 = 48/6

y = 8.

<h3>Therefore, y-intercept is (0,8).</h3>

Let us convert given equation in slope-intercept form y=mx+b.

4x+6y=48

Subtracting 4x from both sides, we get

4x-4x+6y=48-4x

6y = -4x+48

Dividing both sides by 6, we get

6y/6 = -4x/6+48/6

y = -2/3 x +8.

<h3>Therefore, slope is -2/3.</h3>

Let us find factored form now.

GCF of the given linear equation is 2.

Factoring out 2 in all term, we get

3(2x+3y=24)

That is factored form.

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Step-by-step explanation:

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$A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]$

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$A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]$

The value of y using Cramer's rule is:

$y=\frac{det(A_{2}) }{det(A)}$

Find the value of the determinant of each matrix, and divide:

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$y=-\frac{158}{579}$

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