Question

1/2x+3/2=-7

-3x=2y=-2
You could produce a pair of like terms with opposite coefficients by multiplying the first equation by what number?


A. 2/3

b. 4/3

c. 6

Answer 1

we would need to cancel the x's
1/2 times what=3
times 2
what=6

C is answer
you could cancel y byt mulitplying by -4/3 but that isn't an opiton


C is answer

Answer 2

Answer: The correct option is (c) 6.

Step-by-step explanation: We are given the following system of equations :

`(1)/(2)x+(3)/(2)y=-7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\\\-3x+2y=-2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)`

We are to find the number by which the first equation is multiplied to produce a pair of like terms with opposite coefficients.

The co-efficient of x in the first equation is
`(1)/(2)` and the co-efficient of x in the second equation is -3.

Let p be the number by which the first equation is multiplied.

Then, we must get

`p* (1)/(2)=-(-3)\\\\\Rightarrow (p)/(2)=3\\\\\Rightarrow p=3* 2\\\\\Rightarrow p=6.`

Thus, the required numer to be multiplied is 6.

Option (c) is CORRECT.