Answer:
x=-1, y=-5
Step-by-step explanation:
To solve these simultaneously using elimination
-4x-2y=14 ....(I)
-10x+7y=-25 ......(ii)
The first step is to ensure that the coefficients of one of the variables(x or y) are the same.
This is done by multiplying with an appropriate number.
Let's say we want to eliminate y in the equations above,
Multiply equation (I) all through by 7 to get:
-28x-14y=98
Multiply equation (II) all through by 2 to get:
-20x+14y=-50
-28x-14y=98
-20x+14y=-50
Since the coefficient of y are the same (14), we can now eliminate.
We add the two equations because 14 has different Signs.
-48x=48
x=-1
Substitute x=-1 in equation (I) to get y.
-4x-2y=14
-4(-1)-2y=14
4-2y=14
-2y=14-4
-2y=10
y=-5
Therefore x=-1, y=-5
You would divide the x to get an Awnser
A.
B.
Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.
The correct solution: