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2 years ago

(3x+4y= 10) (2x+3y=7) Using elimination

Mathematics

1 answer:

ExtremeBDS [4]2 years ago

7 0

The solution of the equations are (2,1)

Explanation:

The given equations are

$3x+4y=10$ ----------(1) and

$2x+3y=7$ ---------(2)

We need to determine the solution of the equation using elimination method.

Multiplying the equation $3x+4y=10$ by 2, we get,

$6x+8y=20$ -------(3)

Multiplying the equation $2x+3y=7$ by -3, we get,

$-6x-9y=-21$ -------(4)

Adding the equation (3) and (4), we have,

$\ \ \ 6x+8y=20\\-6x-9y=-21\\--------\\-y=-1$

$y=1$

Thus, the value of y is 1

Substituting the value of y in equation (1), we have,

$3x+4(1)=10$

$3x+4=10$

$3x=6$

$x=2$

Thus, the value of x is 2.

Hence, the solution of the equation is (2,1)

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From the line plot, the total growth can be represented as:

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brainly.com/question/15853311

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2 years ago

The glee club has a set of 48 classical CDs and a set of 42 show tunes CDs each second be divided equally among the club members

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2 years ago

What is the measure of an angle if the measures of its two adjacent supplementary angles add up to 100°?

Sindrei [870]

<h3>Answer: 130</h3>

Explanation:

Let x be the unknown angle we want to find.

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Let z also be adjacent and supplementary to x. So x+z = 180 also

Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.

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3 years ago

Fill in the table using this function rule y=5x-3

Rudiy27

Answer:

-2, -13

0, -3

2, 7

4, 17

Step-by-step explanation:

To fill out the table, substitute the table x-values into the equation and the y-values will fill the table.

y = 5x - 3

y = 5(-2) - 3

y = -10 - 3

y = -13

This means the table value corresponding to -2 should be -13.

y = 5x - 3

y = 5(0) - 3

y = 0 - 3

y = -3

This means the table value corresponding to 0 should be -3.

y = 5x - 3

y = 5(2) - 3

y = 10 - 3

y = 7

This means the table value corresponding to 2 should be 7.

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y = 5(4) - 3

y = 20 - 3

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This means the table value corresponding to 4 should be 17.

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2 years ago