Respuesta :
Answer:
D.Multiply the second equation by -2
to get - 4x - 12y = -48.
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}4x+y=4\\2x+6y=24&\text{multiply both sides by (-2)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}4x+y=4\\-4x-12y=-48\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad11y=-44\qquad\text{divide both sides by 11}\\.\qquad\qquad y=-4\\\\\text{put the value of y to the first equation:}\\\\4x+(-4)=4\\4x-4=4\qquad\text{add 4 to both sides}\\4x=8\qquad\text{divide both sides by 4}\\x=2[/tex]
Answer:
Multiply the second equation by -2 to get [tex]- 4x - 12y = -48[/tex]
Step-by-step explanation:
[tex]4x + y = 4[/tex]
[tex]2x + 6y = 24[/tex]
To eliminate one variable the coefficient of a variable should be same with opposite sign.
LEts check with each option
Multiply the first equation by -4 to get [tex]-16x - 4y = -16[/tex]
the coefficient of x or y are not same when we compare with second equation
Multiply the second equation by -4 to get [tex]- 8x - 24y = -96[/tex]
the coefficient of x or y are not same when we compare with first equation
Multiply the first equation by -2 to get [tex]-8x - 2y = -8[/tex]
the coefficient of x or y are not same when we compare with second equation
Multiply the second equation by -2 to get [tex]- 4x - 12y = -48[/tex]
The coefficient of x terms are same with different sign when compare with first equation
So when we add first and second equation , the x will get eliminated.
