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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