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3 years ago

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1 answer:

Otrada [13]3 years ago

3 0

When 2 lines are parallel to each other mean than they have same gradient
y=5x +2
Gradient=5

Let the parallel equation be y=5x +c
Since this equation pass through (4,7), means that the point satisfy the parallel equation
7=5(4)+c
C=7-20=-13
So the parallel equation required is y=5x-13

Hope this can help.

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Equations can have one solution, more than one solution or none at all.

<em>The equation is an identity when the missing value is 8</em>
<em>The equation cannot have exactly one solution</em>
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The equation is given as:

$2(2x - []) + 1 = 17 - 4x$

Represent the blank with y.

So, we have:

$-2(2x - y) + 1 = 17 - 4x$

<u>(a) The missing value when the equation is an identity equation</u>

To do this, we simply solve for y in $-2(2x - y) + 1 = 17 - 4x$

Open brackets

$-4x +2y + 1 = 17 - 4x$

Collect like terms

$2y = 17 - 1 + 4x - 4x$

$2y = 16$

Divide both sides by 2

$y = 8$

Hence, the equation is an identity when the missing value is 8

<u>(b) The missing value when the equation has one solution</u>

In (a), we have: $y = 8$

For the equation to have one solution, variable x must be on either sides of the equation.

i.e. $nx + y = 8$ or $y = 8 + nx$ , where $n \ne 0$

Since x has been eliminated, then the equation can not have one solution.

<u>(c) The missing value when the equation has no solution</u>

In (a), we have: $y = 8$

This means that the equation will have no solution when the missing value is not 8

i.e.

$y \ne 8$

Read more about equations at:

brainly.com/question/9585437

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