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2 years ago

1. Solve the system of equations: 2x + y = -2 5x + 3y = -8

Mathematics

1 answer:

Fantom [35]2 years ago

8 0

Answer: x=2 and y=−6

Step-by-step explanation: 2x+y=−2, 5x+3y=−8

2x+y=−2

2x+y+−2x=−2+−2x

y=−2x−2

5x+3y=−8

5x+3(−2x−2)=−8

−x−6+6=−8+6

−x=−2

−x /−1 = −2 /−1

x=2

y=−2x−2

y=(−2)(2)−2

y=−6

x=2 and y=−6

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2 years ago

Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost $1.50 per r

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Answer: Option 'B' is correct.

Step-by-step explanation:

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2 years ago

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Ratling [72]

Answer:

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Step-by-step explanation:

Given: $\sqrt{\frac{896z^{15}}{225z^6}} =\frac{xz^4}{15} \sqrt{14z}$ ,.....[1]

To find the value of x:

Using exponent rules:

$(a^n)^m = a^{nm}$

$a^n \cdot a^m = a^{n+m}$

Taking square both sides in [1] we have;

$\frac{896z^{15}}{225z^6} = (\frac{xz^4}{15})^2 \cdot (14z)$

Simplify:

$\frac{896z^{15}}{225z^6} =\frac{x^2z^8}{225} \cdot (14z)$

$\frac{896z^{15}}{225z^6} =\frac{14x^2z^9}{225}$

Multiply both sides by $\frac{225}{14z^9}$ we get;

$x^2 = \frac{896 z^{15}}{225z^6} \times \frac{225}{14 z^9} = \frac{896 z^{15}}{14 z^{9+6}}$

Simplify:

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$x = \sqrt{64}$

Simplify:

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Therefore, the value of x is, 8

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