A system of equations is shown below:

2x = −y + 6
−4x + 3y = 8

What is the solution to this system of equations?
(−1, −4)
(1, 4)
(4, 1)
(−4, −1)

Respuesta :

Answer:(1,4)

Step-by-step explanation:

The solution to the system of equations 2x = −y + 6 and −4x + 3y = 8 is (1, 4) option second is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A system of equations is shown below:

2x = −y + 6

−4x + 3y = 8

By using the substitution method:

y = 6 - 2x

-4x + 3(6 - 2x) = 8

-4x + 18 - 6x = 8

-10x = -10

x = 1

y = 4

(1, 4)

Thus, the solution to the system of equations 2x = −y + 6 and −4x + 3y = 8 is (1, 4) option second is correct.

Learn more about the linear equation here:

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