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Musya8 [376]
1 year ago
12

Solve for x & y solve x = 3 + yy = -2x + 9

Mathematics
1 answer:
sergey [27]1 year ago
6 0

x = 3 + y Eqn(1)

y = -2x + 9​ Eqn(2)

Let us solve the system of equations with the substitution method

x - 3 = y (Subtracting 3 from both sides of the Eqn(1))

Replacing y = x - 3 in Eqn (2), we have:

x - 3 = -2x + 9

x = -2x + 9 + 3 (Adding 3 to both sides of the equation)

x + 2x = 9 + 3 (Adding 2x to both sides of the equation)

3x = 12 ( Adding like terms)

x = 12/3 (Dividing by 3 on both sides of the equation)

x = 4

Replacing x=4 in Eqn(1), we have:

4 = 3 + y

4 - 3 = y (Subtracting 3 from both sides of the equation)

y=1

The answers are:

x= 4 and y=1

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1/3x=5/12 show your work
insens350 [35]

Answer:

4/5 or 0.8

Step-by-step explanation:

1/3x = 5/12

<em>cross</em><em> </em><em>multiply</em>

(12×1) = (5×3x)

<em>divide</em><em> </em><em>through</em> <em>by</em> <em>1</em><em>5</em>

x = 12/15

x = 4/5 <em>o</em><em>r</em><em> </em>0.8

3 0
3 years ago
Does the function f(x) = 2x^2− 6x + 9 have a minimum or a maximum? Identify its value.
exis [7]

Answer:

minimum value of function is   \frac{45}{8} .

Step-by-step explanation:

Given function represents a parabola.

Now, here coefficient of x^{2} is positive , so the parabola will be facing upwards and thus the function will be having a minimum.

Now, as we know that minimum value of a parabolic function occurs at

x = \frac{-b}{4a} .

Where , b represents the coefficient of x and a represents the coefficient of x^{2} .

here, a = 2 , b = -6

Thus \frac{-b}{4a} = \frac{6}{8}

                                            =  \frac{3}{4}

So, at x =  \frac{3}{4}  minimum value will occur and which equals

y = 2×\frac{9}{16} - \frac{18}{4} + 9 =  \frac{45}{8} .

Thus , minimum value of function is   \frac{45}{8} .

4 0
3 years ago
Which qoutients are equivalent to -2/3?
Mice21 [21]
The answers are : A and C
3 0
2 years ago
Jackson has 180 pieces of gum. He wants to share the pieces equally with his friends. Which table shows the relationship between
mars1129 [50]

Answer:

Step-by-step explanation:

6 0
2 years ago
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seropon [69]

Answer:

464

Step-by-step explanation:

351 + 113. Add them both together to get your answer.

4 0
3 years ago
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