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maw [93]
3 years ago
8

Solve the following system of equations -7x+2y=9, -8x+9y=17

Mathematics
2 answers:
emmasim [6.3K]3 years ago
5 0
\left\{\begin{array}{ccc}-7x+2y=9&|\cdot9\\-8x+9y=17&|\cdot(-2)\end{array}\right\\  \left\{\begin{array}{ccc}-63x+18y=81\\16x-18y=-34\end{array}\right\ |\text{add both sides of equations}\\-47x=47\ \ \ |:(-47)\\.\ \ \ \ x=-1\\\\\text{substitute the value of x to the first equation}\\\\-7(-1)+2y=9\\7+2y=9\ \ \ |-7\\2y=2\ \ \ |:2\\y=1\\\\\text{Answer:}\ x=-1\ and\ y=1\to(-1;\ 1)
umka21 [38]3 years ago
3 0
<span>-7x+2y=9  | * 9</span>
<span>-8x+9y=17  | *(-2)
</span>

<span>-63x + 18y = 81</span>
<span>16x -18y = -34
</span>
<span>_______________ +
</span>
<span>-47x = 47 ⇒ x = -1
</span>

<span>7+2y=9 ⇒ 2y = 9-7 ⇒ y = 1
</span>
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Find the value of y for the following system of equations 5x + 3y = 10 x = y - 6
viktelen [127]

Answer:

x = -1 , y = 5

Step-by-step explanation:

Solve the following system:

{5 x + 3 y = 10 | (equation 1)

x = y - 6 | (equation 2)

Express the system in standard form:

{5 x + 3 y = 10 | (equation 1)

x - y = -6 | (equation 2)

Subtract 1/5 × (equation 1) from equation 2:

{5 x + 3 y = 10 | (equation 1)

0 x - (8 y)/5 = -8 | (equation 2)

Multiply equation 2 by -5/8:

{5 x + 3 y = 10 | (equation 1)

0 x+y = 5 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{5 x+0 y = -5 | (equation 1)

0 x+y = 5 | (equation 2)

Divide equation 1 by 5:

{x+0 y = -1 | (equation 1)

0 x+y = 5 | (equation 2)

Collect results:

Answer: {x = -1 , y = 5

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3 years ago
Figure ABCD is a rectangle. Find the value of x. <br> X= [?]
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3   |   3   11    2      -7      61
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which translates to

\dfrac{3x^4+11x^3+2x^2-7x+61}{x-3}=3x^3+20x^2+62x+179+\dfrac{598}{x-3}

i.e. you're left with a remainder of 598.
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3 years ago
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