How to find the shaded area

Determine which numbers the equations need to be multiplied by to form opposite terms of the y-variable. 3x - 1 4 y = 15 2 3 x -

sesenic [268]

In the elimination method, one variable is eliminated from the system of equations to find the value of the other.

To create the opposite terms of the x-variable-

The first equation be multiplied by the number 4.

Second equation be multiplied by the number -6.

<h3>What is the elimination method?</h3>

To solve the system of equations and find the value of the variables, the elimination method is used.

In this method, one variable is eliminated from the system of equations to find the value of the other.

Given information-

The system of the equation given in the problem is,

$\rm 3x-\dfrac{1}{4}y=15$

The second equation given in the problem is;

$\rm \dfrac{2}{3}x-\dfrac{1}{6}y=6$

To eliminate the x term, make the coefficient of x of both equations equal.

It can be done by multiplying the coefficient of x term of the first equation to the second equation and the coefficient of x term of the second equation to the first equation.

The first equation is multiplied by;

$\rm 4\times 3x-4\times \dfrac{1}{4}y=15\times 4\\\\12x-y=50$

The second equation is multiplied by;

$\rm -6 \times \dfrac{2}{3}x- -6 \times\dfrac{1}{6}y= -6 \times6\\\\-4x-y=-36\\\\4x+y=36$

Hence, to create the opposite terms of the x-variable-

The first equation is multiplied by the number 4.

The second equation is multiplied by the number -6.

Learn more about the elimination method here;

brainly.com/question/7013345

6 0

2 years ago

Read 2 more answers

5.4 puzzle time what has four legs but can't walk answer key

pentagon [3]

Answer:

A table

Step-by-step explanation:

A table has four legs ( supports) but cannot possibly walk because it is not a living thing. For example, see the table in the attachment, it has four legs (supports) but cannot possibly walk.

7 0

3 years ago

Am i doing this right????

Anna35 [415]

You are going in the right direction. For the distance of ST I get √136
√(-5-1)² + (6+4)² =
√(-6)² + (10²) =
√ 36 + 100 =
√136

√34² + √136² =√170²
34 + 136 = 170
170 = 170

3 0

3 years ago

#8: Linda is saving for retirement. She invest $12,000 in a retirement fund

mestny [16]

Answer:

12000(1+.04)^x

Step-by-step explanation:

12000(1+.04)^x

4 0

3 years ago

cybil flips a coin and rolls a fair number cube at the same time. What is the probability that she will toss tails and roll a nu

IRISSAK [1]

Answer:

$\frac{1}{6}$

Step-by-step explanation:

Flipping a coin and rolling a number cube are both independent events. Independent events do not rely on the outcome of any previous events. This means that whatever you flip on the coin will have no effect on whatever you roll on the number cube and each flip of the coin or roll of the cube has the same probability as the flip or roll before.

The probability of getting tails on a coin toss is: $\frac{1}{2}$

The probability of getting a number less than 3 (so 1 or 2) on a number cube is: $\frac{1}{3}$

Since we are combining these events, we need to multiply the fractions together to get our overall probability:

$\frac{1}{2}$ * $\frac{1}{3}$ = $\frac{1}{6}$

8 0

3 years ago