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Solve for [tex]\( x \)[/tex] and [tex]\( y \)[/tex]:

[tex]\[ 2x + y = 0 \][/tex]

Sagot :

GinnyAnsweridn
Sure, let's solve the equation step-by-step:

The given equation is:
[tex]\[2x + y = 0\][/tex]

Step 1: Isolate y in terms of x.

First, we can rearrange this equation to solve for [tex]\(y\)[/tex]:
[tex]\[y = -2x\][/tex]

Step 2: Choose a specific value for [tex]\(x\)[/tex].

Since there are infinitely many solutions to this equation (as it is a linear equation with two variables), we can choose a specific value for [tex]\(x\)[/tex] to find a particular solution.

Let's assume [tex]\(x = 1\)[/tex].

Step 3: Substitute the chosen value of [tex]\(x\)[/tex] back into the equation for [tex]\(y\)[/tex].

Substitute [tex]\(x = 1\)[/tex] into the equation [tex]\(y = -2x\)[/tex]:
[tex]\[y = -2(1)\][/tex]

Step 4: Simplify the equation.

This simplifies to:
[tex]\[y = -2\][/tex]

Step 5: Write down the solution.

So, the solution to the equation [tex]\(2x + y = 0\)[/tex] when choosing [tex]\(x = 1\)[/tex] is:
[tex]\[x = 1 \][/tex]
[tex]\[y = -2\][/tex]

Thus, one specific solution is:
[tex]\((x, y) = (1, -2)\)[/tex]
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