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Mnenie [13.5K]
3 years ago
8

Solve the Linear system using substitution X=6-4y 3x-2y=1

Mathematics
1 answer:
katovenus [111]3 years ago
5 0
3(6-4y)-2y=1
18-12y-2y=1
18-14y=1
-14y=-17
Y=17/14
Now with a calculator plug in 17/4 multiply it by 4 and subtract the solution from 6 and h get x
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x+5-1(2x)+(-1)(-3)=6

x+5-1-2x+3=6

ans (-x+8=6)

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How many terms are in (3x^2-3)(3x^2+3)
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The number of terms in the expression given is; 2.

<h3>How many term are in the expression given?</h3>

It follows from the task content that the expression given is; (3x^2-3)(3x^2+3).

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djyliett [7]

Answer:

3 and perpendicular

Step-by-step explanation:

It's important to remember that equations of lines are always set up in the format of y=mx+c.

y is the y value, m is the gradient/slope, x is the x value and c is the y-intercept.

Therefore, we must always rearrange our line equations so that y is the subject.

In the first question, we are given the equation 2x+6y=12.

We rearrange to make y the subject:

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Then, we divide both sides by 6 to have the y isolated:

\frac{6}{6} y = \frac{12}{6}  - \frac{2}{6}x\\\\ y = 2 - \frac{1}{3}x

To find a perpendicular slope, we use the negative reciprocal of the original slope. The negative part of that means we negate the value (it becomes inverse) and the reciprocal part means that we flip the fraction.

So here, the slope is -\frac{1}{3}.

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So, the perpendicular slope is 3.

In the second question, we have two equations. They both need to be rearranged to isolate the y.

4x-y=5\\4x = 5 + y\\y = 4x - 5\\\\4y = -x-12\\y = -\frac{1}{4}x - 3

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This means that the values are negative reciprocals of each other, meaning the lines are perpendicular.

5 0
2 years ago
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