Question

Express x in terms of y for the linear equation 2/3x +4y =-7

Answer 1

Answer:

Step-by-step explanation:

2\3x+4y=-7

2\3x=-7-4y

2x=-7-4yX3

x=7-4yX3\2

x=7-2yX3

x=7-6y

y=x-7\-6

Answer 2

$x = \frac{2}{12y+21} .$

• An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
• Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Here, according to the given information, we are given that,

The linear equation is,

$\frac{2}{3x} +4y=-7.$

Or, $\frac{2+12xy}{3x} =-7.$

Or, $2+12xy=-21x.$

Or, $12xy+21x=2$

Or, $x(12y+21) = 2$

Or, $x = \frac{2}{12y+21} .$

Hence, $x = \frac{2}{12y+21} .$

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