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

[tex]\[ 3x - y = 1 \][/tex]

Sagot :

GinnyAnsweridn
To find the solution for the equation [tex]\( 3x - y = 1 \)[/tex], follow these steps:

1. Start with the given equation:
[tex]\[ 3x - y = 1 \][/tex]

2. We want to solve for [tex]\( y \)[/tex] in terms of [tex]\( x \)[/tex]. To isolate [tex]\( y \)[/tex], we need to rearrange the equation. Add [tex]\( y \)[/tex] to both sides of the equation to move [tex]\( y \)[/tex] to the right-hand side:
[tex]\[ 3x - y + y = 1 + y \implies 3x = 1 + y \][/tex]

3. Now, subtract 1 from both sides to begin isolating [tex]\( y \)[/tex]:
[tex]\[ 3x - 1 = y \][/tex]

4. Finally, rewrite the equation with [tex]\( y \)[/tex] isolated:
[tex]\[ y = 3x - 1 \][/tex]

Therefore, the solution for the equation [tex]\( 3x - y = 1 \)[/tex] in terms of [tex]\( y \)[/tex] is:

[tex]\[ y = 3x - 1 \][/tex]
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