Question

Example 4. Solve s = 2x + 2y.​

Answer 1

Step-by-step explanation:

2 x + 2 y =0

Taking 2 common

2 ( x + y ) = 0

Answer 2

Answer:

The equation s = 2x + 2y is a linear equation in two variables x and y. To solve this equation, we need to find the values of x and y that satisfy the equation.

One way to do this is by using the substitution method, where we isolate one of the variables in terms of the other and substitute the expression into the other equation. For example, we can isolate x in terms of y:

x = (s - 2y)/2

Then, we can substitute this expression into the original equation to find the value of y:

s = 2((s - 2y)/2) + 2y

Expanding and simplifying the equation, we get:

s = s - 2y + 2y

Solving for y, we get:

y = s/4

Substituting y back into the expression for x, we get:

x = (s - 2s/4)/2 = s/4 - s/4 = -s/4

So, the solution to the equation s = 2x + 2y is x = -s/4 and y = s/4.

Note that this solution is a parameterization of the line that corresponds to the equation in the form (x, y) = (t, t), where t is a scalar that can take any real value.

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