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3 years ago

3x+4y+z=-2 2y+3z=-8 z=-3

Mathematics

2 answers:

Naya [18.7K]3 years ago

7 0

Answer:

y = 1/2

x = -1 / 3

z = -3

Step-by-step explanation:

In this question, in order to find "y" and "x", we do the following...

Since we know z = -3 we can find "y" by substituting z in the second equation.

2y + 3z = -8

2y + 3(-3) = -8

2y - 9 = -8

2y = 1

y = 1/2

Now we know "y" and "z" and so we can find x...

3x + 4y + z = -2

3x + 4(1/2) - 3 = -2

3x + 2 - 3 = -2

3x = -1

x = -1 / 3

masya89 [10]3 years ago

3 0

Answer:

z=-3 so 2y+3(-3)=-8, 2y-9=-8, add 9 to both sides 2y=1 divide both sides by 2, y=1/2, so 3x+4(1/2)+-3=-2, 3x+2-3=-2, 3x-1=-2, add 1 to both sides, 3x=-1, divide both sides by 3, x=-1/3

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4/5m=28 can you help me solve this equation step by step?

Maslowich

Step-by-step explanation:

Step by step solution :

Step 1 :

Simplify —

Equation at the end of step 1 :

(— • m) - 28 = 0

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 5 as the denominator :

28 28 • 5

28 = —— = ——————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4m - (28 • 5) 4m - 140

————————————— = ————————

5 5

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

4m - 140 = 4 • (m - 35)

Equation at the end of step 3 :

4 • (m - 35)

———————————— = 0

Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

4•(m-35)

———————— • 5 = 0 • 5

Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

4 • (m-35) = 0

Equations which are never true :

4.2 Solve : 4 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.3 Solve : m-35 = 0

Add 35 to both sides of the equation :

m = 35

One solution was found :

m = 35

4 0

3 years ago

Two planes, A and B, start from the same place and move in different directions, making an angle of 50º between them. The speed

cluponka [151]

Answer: The distance between them is 230.65 miles.

Step-by-step explanation:

Since we have given that

Speed of plane A (b) = 200 miles per hour

Speed of plane B (c) = 300 miles per hour

Angle between them = 50°

So,

We will use the "Cosine formula", we get

$a^2=b^2+c^2-2bc\cos A\\\\a^2=200^2+300^2-2\times 200\times 300\cos 50\textdegree\\\\a^2=40000+90000-120000\cos 50\textdegree\\\\a^2=130000-120000\times 0.64\\\\a^2=130000-76800\\\\a^2=53200\\\\a=\sqrt{53200}\\\\a=230.65\ miles\ per\ hour$