Answered

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?


A2/3

B4/3

C6

Verified Answer :

apologiabiology

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:  The correct option is (c) 6.

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

\(\dfrac{1}{2}x+\dfrac{3}{2}y=-7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\\\-3x+2y=-2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\)

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 \(\dfrac{1}{2}\) 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

\(p\times \dfrac{1}{2}=-(-3)\\\\\Rightarrow \dfrac{p}{2}=3\\\\\Rightarrow p=3\times 2\\\\\Rightarrow p=6.\)

Thus, the required numer to be multiplied is 6.

Option (c) is CORRECT.

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