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just olya [345]

3 years ago

7

What is y+5=7(x-8) written in standard form

1 answer:

Brilliant_brown [7]3 years ago

6 0

Answer:

<em>7x-y=61</em>

Step-by-step explanation:

The standard form is <em>Ax+By=C</em>.

Let's simplify the equation first.

1. Distribute: <em>y+5=7x-56</em>

2. Subtract 5: <em>y=7x-61</em>

3. Arrange into standard form: <em>7x-y=61</em>

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1)An exam worth 172 points contains 30 questions. Some questions are worth 2 points, and the others are worth 9 points. How many

lisabon 2012 [21]

1) x+y=302x+9y=172x=-y+30-2y+60+9y=1727y=112y=16x=14
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2) c+a=163
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3) a+c=15; ax+cy=132
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3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%7B%28%20%5Csqrt%7B3%7D%20%29%7D%5E%7Bx%20%2B%20y%7D%20%20%3D%209%20%5C%5C%20%20%7B%28%20%5

algol13

<h2> $\bf \purple{ \underline{Given :-}}$ </h2>

$• \: {( \sqrt{3} )}^{x + y} = 9\: \: \: \: (i)$

$• \: {( \sqrt{2} )}^{x - y} = 32 \: \: \: \: (ii)$

$\\$

<h2> $\bf \purple{ \underline{To \: Find :- }}$ </h2>

$• {\sf{The \: value \: of}} \: \: 2x+ y.$

$\\$

$\huge\bf \purple{ \underline{Solution :- }}$

$\sf{From \: equation \: (i), }$

${( \sqrt{3} )}^{x + y} = 9$

$⇒ {( \sqrt{3} )}^{x + y} = ({ \sqrt{3} })^{4}$

$⇒ x + y = 4 \: \: \: \: (iii)$

$\\$

$\sf{From \: the \: equation \: (ii)}$

${( \sqrt{2} )}^{x - y} = 32$

$⇒( { \sqrt{2} })^{x - y} =( { \sqrt{2} })^{10}$

$⇒x - y = 10 \: \: \: \: (iv)$

$\\$

$\sf{We \: have \: to \: add \: equation \: (iii) \: and \: equation \: (iv)}$

$x + y + x - y = 4 + 10$

$⇒2x = 14$

$⇒x = 7$

$\\$

$\sf{Subtracting \: equation \: (iii) \: from \: equation \: (ii), }$

$x - y - x - y = 10 - 4$

$⇒ - 2y = 6$

$⇒y = - 3$

$\\$

$\bf\therefore x = 7 \: \: and \: \: y = - 3$

$\\$

${ \sf{Th e \: value \: of }}= 2x +y$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =2 \times 7 + ( - 3)$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =14 - 3$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =11$

$\bf \red{Hence, \: the \: value \: of \: 2x + y \: is \: 11. }$

7 0

3 years ago

Write variable expressions to describe the pharse. 1.A fifteenth of a number, p. 2.9 more than twice a number, w. 3.sixteen incr

Marat540 [252]

Answer:

2.5

Step-by-step explanation:

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3 years ago