Question

Which operations would create an equivalent system of equations with opposite like terms? 3 x minus 3 y = 3. 4 x 5 y = 13. The first equation can be multiplied by 5 and the second equation by 3. The first equation can be multiplied by –4 and the second equation by –3. The first equation can be multiplied by 4 and the second equation by –4. The first equation can be multiplied by 3 and the second equation by 5.

Answer 1

To create an equivalent system of equations with opposite like terms, the first equation can be multiplied by 5 and the second equation by 3

What is system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Given information-

The system of equation given in the problem is,

$3 x - 3 y = 3$

Let the above equation as the equation number 1.

The second equation given in the problem is,

$4 x+ 5 y = 13$

Let the above equation as the equation number 2.

As the coefficient of y is 3 in the first equation thus multiply the above equation to make like wise term as,

$3\times4 x+(3)\times 5 y = (3)\times 13\\12x+15y=39$

Let the above equation is equation 3.

The first equation given in the problem is,

$3 x - 3 y = 3$

As the coefficient of y is 5 in the second equation thus multiply the above equation to make like wise term as,

$3\times4 x-(5)\times 3 y = (5)\times 3\\15x-15y=15$

Let the above equation is equation 4.

Compare the equation 3 and 4, we get that both the equation has the equivalent system of equations with opposite like terms.

Thus, to create an equivalent system of equations with opposite like terms, the first equation can be multiplied by 5 and the second equation by 3

Learn more about the system of equations here;

https://brainly.com/question/13729904

Answer 2

Answer:

A

Step-by-step explanation: