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2 years ago

10x + 9y = -17 10x – 2y = 16 what is the solution

Mathematics

1 answer:

Ivan2 years ago

3 0

Answer:

x = 1 and y = -3

Step-by-step explanation:

Subtract eqn 1 from eqn 2

11y = - 33

y = -3

Substituting y into eqn 2...

10x - 2(-3) = 16

10x +6 = 16

10x = 10

x = 1

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Keith_Richards [23]

Answer:

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2 years ago

Reduce 2/8 to the smallest form and 3/12 to the smallest form

iris [78.8K]

Answer:

1/4 for both

Step-by-step explanation:

2/8 -- you divide 2 by 2 you get 1, 8 divided by 2 is 4 -- 1/4

3/12 -- you divide 3 by 3 you get 1, 12 divided by 3 is 4 -- 1/4

** tip: what you do to one half of the fraction you have to do to the other

hope this helps!

4 0

2 years ago

5/6(2x+12)-8=4-(x+1)

alekssr [168]

For this case we have the following equation:

$\frac {5} {6} (2x + 12) -8 = 4- (x + 1)$

We apply distributive property on the left side of the equation:

$\frac {5 * 2} {6} x + \frac {5 * 12} {6} -8 = 4- (x + 1)\\\frac {10} {6} x + \frac {60} {6} -8 = 4- (x + 1)$

We simplify the left side of the equation:

$\frac {5} {3} x + 10-8 = 4- (x + 1)$

Different signs are subtracted and the major sign is placed.

$\frac {5} {3} x + 2 = 4- (x + 1)$

On the right side we must take into account that:

$- * + = -$

So:

$\frac {5} {3} x + 2 = 4-x-1\\\frac {5} {3} x + 2 = 3-x$

We add x to both sides of the equation:

$\frac {5} {3} x + x + 2 = 3\\\frac {5 * 1 + 3 * 1} {3} x + 2 = 3\\\frac {5 + 3} {3} x + 2 = 3\\\frac {8} {3} x + 2 = 3$

We subtract 2 from both sides of the equation:

$\frac {8} {3} x = 3-2\\\frac {8} {3} x = 1$

We multiply by 3 on both sides of the equation:

$8x = 3$

We divide by 8 on both sides of the equation:

$x = \frac {3} {8}$

Thus, the solution of the equation is:

$x = \frac {3} {8}$

Answer:

$x = \frac {3} {8}$

4 0

2 years ago

10 POINTS!!!<br><br> Name an angle that is adjacent to ∠BOC.

bogdanovich [222]

An angle adjacent to BOC would be COD or BAC.

5 0

2 years ago

What is the length of arc S shown below?<br> The angle in the figure is a central angle in radians.

Taya2010 [7]

Answer:

Step-by-step explanation:

Arc length = r × theta

Arc length = 5 × 0.4

= 2

3 0

2 years ago