Which fraction is equivalent to 0? Use the number line to help answer the question.
2 answers:
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The correct option will be :
A. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 5. The solution to system B will be the same as the solution to system A.
System A :
-x - 2y = 7 ..........(1)
5x - 6y = -3 ..........(2)
If we multiply the first equation by 5, then we will get :
5(- x - 2y) = 5(7)
⇒ - 5x - 10y = 35 ........... (3)
Now the Sum of equation (2) and equation (3) is:
⇒ Sum :
Now if we replace the second equation in system A with this , then we will get the system B.
Solution of system B:
First we will take the second equation as there is only one variable 'y'. So, we will solve that equation for 'y'
Now for solving 'x', we will plug y= -2 into the first equation
So, the solution of system B is (-3, -2), that means the solution of both systems are same.
Answer:
Step-by-step explanation:
they want you to remember your algebra... :P
mulitply both sides by 5
5* = -7 * 5 this is fair.. b/c you have done the same thing to both sides of the equal sign... the equal sign remains true
now cancel the 5 s on the left
x = -35 and voila you got it