Math / Algebra

Questiona) Factorise $n x+17 x$ b) Use your answer to part a) to make $x$ the subject of $n x+17 x=p$

Studdy Solution

STEP 1

1. We are given an expression $n x + 17 x$ to factorize.
2. We need to use the factorized form to solve for $x$ in the equation $n x + 17 x = p$ .

STEP 2

1. Factorize the expression $n x + 17 x$ .
2. Use the factorized expression to solve for $x$ in the equation $n x + 17 x = p$ .

STEP 3

Identify the common factor in the terms $n x$ and $17 x$ . Notice that $x$ is a common factor.
$n x + 17 x = x(n + 17)$

STEP 4

Use the factorized expression $x(n + 17)$ to rewrite the equation $n x + 17 x = p$ .
$x(n + 17) = p$

STEP 5

Solve for $x$ by dividing both sides of the equation by $(n + 17)$ .
$x = \frac{p}{n + 17}$
The subject $x$ is now expressed as:
$x = \frac{p}{n + 17}$

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Questiona) Factorise $n x+17 x$ b) Use your answer to part a) to make $x$ the subject of $n x+17 x=p$

Studdy Solution

STEP 1

1. We are given an expression $n x + 17 x$ to factorize.
2. We need to use the factorized form to solve for $x$ in the equation $n x + 17 x = p$ .

STEP 2

1. Factorize the expression $n x + 17 x$ .
2. Use the factorized expression to solve for $x$ in the equation $n x + 17 x = p$ .

STEP 3

Identify the common factor in the terms $n x$ and $17 x$ . Notice that $x$ is a common factor.
$n x + 17 x = x(n + 17)$

STEP 4

Use the factorized expression $x(n + 17)$ to rewrite the equation $n x + 17 x = p$ .
$x(n + 17) = p$

STEP 5

Solve for $x$ by dividing both sides of the equation by $(n + 17)$ .
$x = \frac{p}{n + 17}$
The subject $x$ is now expressed as:
$x = \frac{p}{n + 17}$

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Questiona) Factorise nx+17xn x+17 xnx+17x b) Use your answer to part a) to make xxx the subject of nx+17x=pn x+17 x=pnx+17x=p

Studdy Solution

STEP 1

1. We are given an expression nx+17x n x + 17 x nx+17x to factorize.2. We need to use the factorized form to solve for x x x in the equation nx+17x=p n x + 17 x = p nx+17x=p.

STEP 2

1. Factorize the expression nx+17x n x + 17 x nx+17x.2. Use the factorized expression to solve for x x x in the equation nx+17x=p n x + 17 x = p nx+17x=p.

STEP 3

Identify the common factor in the terms nx n x nx and 17x 17 x 17x. Notice that x x x is a common factor.nx+17x=x(n+17) n x + 17 x = x(n + 17) nx+17x=x(n+17)

STEP 4

Use the factorized expression x(n+17) x(n + 17) x(n+17) to rewrite the equation nx+17x=p n x + 17 x = p nx+17x=p.x(n+17)=p x(n + 17) = p x(n+17)=p

STEP 5

Solve for x x x by dividing both sides of the equation by (n+17) (n + 17) (n+17).x=pn+17 x = \frac{p}{n + 17} x=n+17p​ The subject x x x is now expressed as:x=pn+17 x = \frac{p}{n + 17} x=n+17p​

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Questiona) Factorise $n x+17 x$ b) Use your answer to part a) to make $x$ the subject of $n x+17 x=p$

1. We are given an expression $n x + 17 x$ to factorize.
2. We need to use the factorized form to solve for $x$ in the equation $n x + 17 x = p$ .

1. Factorize the expression $n x + 17 x$ .
2. Use the factorized expression to solve for $x$ in the equation $n x + 17 x = p$ .

Identify the common factor in the terms $n x$ and $17 x$ . Notice that $x$ is a common factor.
$n x + 17 x = x(n + 17)$

Use the factorized expression $x(n + 17)$ to rewrite the equation $n x + 17 x = p$ .
$x(n + 17) = p$

Solve for $x$ by dividing both sides of the equation by $(n + 17)$ .
$x = \frac{p}{n + 17}$
The subject $x$ is now expressed as:
$x = \frac{p}{n + 17}$