Question

Which system of equations is equivalent to the following system?
4x + y = 4
2x + 7y = 28

Answer 1

Answer:

the third one

-28x-7y=-28

2x+7y=28

Step-by-step explanation:

for the first one, the 2x+7y=28 is being multiplied by -1, but its not being distributed correctly (28 is incorrect, it should be -28)

for the second one, the 2x+7y=28 is being multiplied by -4, but again, is not being distributed correctly (112 is incorrect, it should be -112)

for the fourth one, 4x+y=4 is being multiplied by -2, but its not being distributed correctly (8 is incorrect, it should be -8)

Answer 2

The system of equations equivalent to the given system is -28x -7y = -28, 2x + 7y = 28, the correct option is C.

What is System of Equation?

The system of equation is set of equations which have a common solution.

The system of equation is,

4x +y = 4

2x +7y =28

The equations can be solved using Substitution method, elimination method and by plotting the graph.

In substitution method, the value of one variable from an equation is substituted in the other equation.

4x +y = 4

y = 4 - 4x

This will be substituted in the equation 2

2x + 7 (4-4x) = 28

2x +28 - 28x  = 28

-26x = 0

x = 0

Putting this value in equation 1 , y = 4.

In elimination method, one of the variable is eliminated to solve the system of equation.

To eliminate y, the equation 1 will be multiplied by -7,

-28x -7y = -28

2x + 7y = 28

This is equivalent to the original system of equation.

Adding the equations will yield

-26x = 0

x = 0

y = 4.

To know more about System of Equations

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