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Genrish500 [490]
3 years ago
7

How do you work out this equation

Mathematics
1 answer:
Gnom [1K]3 years ago
3 0

Answer:

x is equal to negative one, and y is equal to negative four.

Step-by-step explanation:

You can do this by solving one of the equations by either x or y, then substituting it into the other.  Let's solve the second one for y:

2y = 3x - 5\\y = \frac{3x - 5}{2}

Now we'll substitute that into the first equation:

9x - 2y = -1\\9x - 2(\frac{3x - 5}{2}) = -1\\9x - 3x + 5 = -1\\6x + 5 = -1\\6x = -6\\x = -1

So we now know that x is equal to -1.  We can simply substitute that into one of the original equations to find y:

2y = 3x - 5\\2y = 3(-1) - 5\\2y = -3 - 5\\2y = -8\\y = -4

We now know that x is equal to -1, and y is equal to -4.  We can also check our answer by plugging that -4 into the other equation, and see if we still get -1:

9x - 2y = -1\\9x - 2(-4) = -1\\9x + 8 = -1\\9x = -1 - 8\\9x = -9\\x = -1

So we know that our answer is correct.

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Order each set of measures from greatest to least 1) 1.2 cm, 0.6 in, 0.031 m, 0.1 ft 2) 2 lb, 891 g, 1 kg, 0.02 T 3) 1 1/4 c, 0.
labwork [276]

Step-by-step explanation:

1) 1.2 cm, 0.6 in, 0.031 m, 0.1 ft

The relationship between the units is given as;

m > ft > in > cm

Upon converting the rest units to the lowest;

0.6 in = 1.524 cm

0.031 m = 3.1 cm

0.1 ft = 3.048 cm

The order is given as;

0.031 m > 0.1 ft > 0.6 in > 1.2 cm

2) 2 lb, 891 g, 1 kg, 0.02 T

2 lb = 907.185 g

1 kg = 1000 g

0.02 T = 20000 g

The order is given as;

0.02 T >  1 kg > 2 lb > 891 g

3) 1 1/4 c, 0.4 L, 950 mL, 0.7 gal

0.4 L = 400 mL

0.7 gal = 2649.79 mL

11/4 c = 650.6177 mL

The order is given as;

0.7 gal > 11/4 c > 950ml > 0.4 L

4) 4.5 ft, 48 in., 1.3 m, 120 cm

The relationship between the units is given as;

m > ft > in > cm

Upon converting the rest units to the lowest;

4.5 ft = 137.16 cm

48 in = 121.92 cm

1.3 m = 130 cm

The order is given as;

4.5 ft > 1.3 m > 48 in > 120 cm

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3 years ago
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The price was $824.85 before the discount (yesterday)
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Draw a conclusion is the statement below always sometimes or never true give at least two examples to support your reasoning the
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One example is the least common multiple of 2 and 3 is 6, which is their product.

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3 years ago
A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).
adell [148]

Answer:

y=\frac{3}{2}x-3

Step-by-step explanation:

The given line passes through: (0,-3), (2,0), and (4,3).

We first of all find the slope using m=\frac{y_2-y_1}{x_2-x_1}

Using (x_1=0,y_1=-3),and\:(x_2=2,y_2=0) we find the slope to be

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The equation is given by y=mx+c, where m=\frac{3}{2} is the slope and c=-3 is the y-intercept.

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Answer:

AC = 3.72 units

Angles:

A = 132.6°

C = 27.4°

Step-by-step explanation:

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AC² = 13.82459034

AC = 3.718143399

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sinA = 0.7358944647

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A = 132.6171487

3.718143399/sin20 = 5/sinC

sinC = 0.4599340405

C = 27.38285134

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3 years ago
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