chose the equivalent system of linear equations that will produce the same solution as the given one below
4x-y=-11
2x+3y=5
DIVIDE BY 2 AND THEN U SHOULD GET 61,000,000,000,000 LMAO
LAUGH OUT LOUD
LMAO
To find an equivalent system of linear equations that will produce the same solution as the given one, we can perform various operations to manipulate the equations. The goal is to have a different set of equations with the same solution.
The given system of equations is:
4x - y = -11 ...(1)
2x + 3y = 5 ...(2)
Now, let's manipulate these equations to get an equivalent system.
1. We can manipulate equation (1) by multiplying both sides by 3 to simplify the coefficients:
(3) * (4x - y) = (3) * (-11)
12x - 3y = -33 ...(3)
2. We can manipulate equation (2) by multiplying both sides by -2 to simplify the coefficients:
(-2) * (2x + 3y) = (-2) * (5)
-4x - 6y = -10 ...(4)
Now, the equivalent system of equations that will produce the same solution as the given one is:
12x - 3y = -33 ...(3)
-4x - 6y = -10 ...(4)
By solving this new system of equations, we will obtain the same solution as the original given system.
Don't know if you were given some choices, but I would multiply the
2nd by 2 and have
4x - y = -11
4x + 6y = 10
now subtract them ...
7y = 21
y = 3
but that back into the first and you can find x