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4 years ago

SOLVE THE SYSTEM OF EQUATIONS −2x+6y=−38 3x−4y=32

Mathematics

2 answers:

WARRIOR [948]4 years ago

6 0

X= 4 and Y =-5 im not really 100% sure but its all i know

denis23 [38]4 years ago

3 0

Answer:

x = 4 and y = -5 is the solution of the system of equations

Step-by-step explanation:

The system of equations has been given as

-2x + 6y = - 38

We divide this equation by 2

-x + 3y = - 19 ----------(1)

3x - 4y = 32 ----------(2)

We multiply the equation 1 by 3 add to equation 2

3(-x + 3y) + (3x - 4y ) = - 57 + 32

-3x + 9y + 3x - 4y = - 25

5y = -25

y = -5

Now we replace y = -5 in equation 1

-x + 3×(-5) = -19

-x - 15 = -19

-x = -19 + 15 = -4

x = 4

Therefore, x = 4 and y = -5 is the solution of the system of equations.

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mafiozo [28]

Answer:

-539.25

Step-by-step explanation:

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w=−9, x = 2.7, and z=−25

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Parentheses first

The exponent in the parentheses

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Then multiply

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3 years ago

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Step-by-step explanation:

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3 years ago

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Suppose h(x)=3x-2 and j(x) = ax +b. Find a relationship between a and b such that h(j(x)) = j(h(x))

sergejj [24]

Answer:

$\displaystyle a = \frac{1}{3} \text{ and } b = \frac{2}{3}$

Step-by-step explanation:

We can use the definition of inverse functions. Recall that if two functions, f and g are inverses, then:

$\displaystyle f(g(x)) = g(f(x)) = x$

So, we can let j be the inverse function of h.

Function h is given by:

$\displaystyle h(x) = y = 3x-2$

Find its inverse. Flip variables:

$x = 3y - 2$

Solve for y. Add:

$\displaystyle x + 2 = 3y$

Hence:

$\displaystyle h^{-1}(x) = j(x) = \frac{x+2}{3} = \frac{1}{3} x + \frac{2}{3}$

Therefore, a = 1/3 and b = 2/3.

We can verify our solution:

$\displaystyle \begin{aligned} h(j(x)) &= h\left( \frac{1}{3} x + \frac{2}{3}\right) \\ \\ &= 3\left(\frac{1}{3}x + \frac{2}{3}\right) -2 \\ \\ &= (x + 2) -2 \\ \\ &= x \end{aligned}$

And:

$\displaystyle \begin{aligned} j(h(x)) &= j\left(3x-2\right) \\ \\ &= \frac{1}{3}\left( 3x-2\right)+\frac{2}{3} \\ \\ &=\left( x- \frac{2}{3}\right) + \frac{2}{3} \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}$

3 0

3 years ago

What is the proportion of 2/5 = 8/x

natali 33 [55]

To find is out put it like this 2 8
5 x
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3 years ago

Work out the area of this trapezium

skelet666 [1.2K]

Step-by-step explanation:

Area = ½ × b × h

= ½ × (7.9 + 10.8) × 6.2

= ½ × 18.7 × 6.2

= ½ × 115.94

= 57.97 cm²

So, the area of that trapezium is 57.97 cm²

Hope it helpful and useful :)

6 0

3 years ago