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grandymaker [24]
4 years ago
13

3x + 7y=47 -4x + 7y=19

Mathematics
1 answer:
kiruha [24]4 years ago
3 0

Answer:

x = 4

y = 5

Step-by-step explanation:

For the longest time, struggled with systems of equations, but once I got them, they're all surprisingly easy- they're (usually) solved through the same methods, constantly.

The first thing to notice about your question is that there are 2 terms that are exactly the same, which is 7y. This means that you can use the "elimination" method to solve it, which is (in my opinion) the easiest one. What you do is subtract the 1st equation by the 2nd one. You have to keep everything on the same sides of the equals signs when you do it, and put a negative sign around the ENTIRE 2nd equation (that always got me lol).

3x + 7y = 47

-<u> (-4x + 7y = 19)</u>

3x + 7y + 4x -7y = 47 - 19

    7x =  28

    x = 4

Now that you have one variable, all you need to do is plug in the known variable (x) into either original equation.

3 (4) + 7y = 47

12 + 7y = 47

7y = 35

y = 5

Good luck in all your future math problems!

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Paraphin [41]

Answer:

y = 0.1x - 4

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-3, 7)

Points on the y-axis (y1, y2) = (-7, -6)

First of all, we would find the slope;

Mathematically, slope is given by the formula;

Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis}

Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}}

Substituting into the equation, we have;

Slope = (-6 - (-7))/(7 - (-3))

Slope = (-6 + 7)/(7 + 3)

Slope = 1/10

Slope = 0.1

Next, we would write the equation using the formula;

y - y1 = m(x - x1)

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y + 7 = 0.1x + 3

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5 0
3 years ago
Alana walks east 4/9 mile to school every morning. On saturday, she walked to a friend's house, which is 1/3 mile farther east f
frutty [35]

Answer:

4/27

Step-by-step explanation:

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5 0
3 years ago
Given 4 c + 5 not-equals 0 and c is a real number, what is the multiplicative inverse of 4 c + 5 not-equals 0 0 1 StartFraction
Komok [63]

Answer:

Option 1 -  \frac{1}{4c+5}

Step-by-step explanation:

Given : Equation 4c+5\neq 0 and c is a real number.

To find : What is the multiplicative inverse of equation ?

Solution :

The multiplicative inverse of a number x is reciprocal of number i.e. \frac{1}{x} or x^{-1}

Equation 4c+5\neq 0

The expression is x=4c+5

The multiplicative inverse is given by,

\frac{1}{x}=\frac{1}{4c+5}

Therefore, Option 1 is correct.

The multiplicative inverse of equation is \frac{1}{4c+5}

6 0
3 years ago
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Arturiano [62]

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4 0
3 years ago
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yulyashka [42]

Answer:

Step-by-step explanation:

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