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lyudmila [28]
3 years ago
8

X+y=7;x+2y=11Solve by substitution steps must.​

Mathematics
2 answers:
Tpy6a [65]3 years ago
8 0

Answer:

Step-by-step explanation:

x + y = 7    ------------(I)

     y = 7 - x  ------------(II)

x + 2y = 11 --------------(III)

Substitute y = 7 - x in equation (III)

x + 2 * (7 -x) = 11

x + 2*7 - 2*x = 11

x + 14 - 2x = 11

x - 2x + 14 = 11

- x + 14 = 11

Subtract 14 from both side

-x = 11 - 14

-x = -3

Multiply both sides by (-1)

x = 3

Substitute x=3 in equation (II)

y = 7 - 3

y = 4

coldgirl [10]3 years ago
3 0

Answer:

  • \boxed{ \tt \red{ x = 3}}
  • \boxed{ \tt \pink {y = 4}}

Step-by-step explanation:

Step: Solve x+y=7 for x:

x+y=7

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7 for x in x+2y=11:

x+2y=11

−y+7+2y=11

y+7=11(Simplify both sides of the equation)

y+7+−7=11+−7(Add -7 to both sides)

<em><u>y=4</u></em>

Step: Substitute 4 for y in x=−y+7:

x=−y+7

x=−4+7

<em><u>x=3</u></em>(Simplify both sides of the equation)

Answer:

\boxed{\sf x = 3 \: and \: y = 4}

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Marianna [84]

Answer:

I'm pretty sure the answer is the 2nd one.

The way I figured it out was:

First, I multiplied both sides by -3. *You can either divide by -1/3 or multiply by -3.

This canceled out the -1/3 and the 7 became a -21.

Also, when you divide or multiply by a negative, the inequality sign flips.

So you get greater than or equal to, not less than or equal to.

This is how I got: h is greater than or equal to -21.

8 0
3 years ago
Express your answer in scientific notation. 0.00045 – 2.5-10-5​
SCORPION-xisa [38]

Answer:

17.49955

Step-by-step explanation:

Hope this helps

8 0
3 years ago
The ratio of boys to girls in math is 9 to 12. Write this ratio to girls in simplest form as a fraction.​
andre [41]

Answer:

3/4

Step-by-step explanation:

you can make it into a fraction just putting it like this 9/12

well 12 - 9 = 3

so we divide by it

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lastly you put these as a fraction

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4 0
3 years ago
Find the point-slope equation for the line that passes through the points (5,19) and (-5,-1).
xxTIMURxx [149]

Answer: y - 19 = 2(x - 5)

Step-by-step explanation:

The point slope form is expressed as

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Where

m represents slope

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The given points are (5,19) and (-5,-1)

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To determine the equation, we would substitute x1 = 5, y1 = 19 and m= 2 into the point slope form equation. It becomes

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7 0
3 years ago
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egoroff_w [7]

Answer:

The similar shortcut for division works because division is the opposite operation of multiplication—it “undoes” multiplication. If we move the decimal point to the right when multiplying by 10, 100, 1000 and so on, then it is quite natural that the rule for division would work the “opposite” way.

Step-by-step explanation:

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