Question Video: Solving Linear Equations | Nagwa Question Video: Solving Linear Equations | Nagwa

# Question Video: Solving Linear Equations Mathematics

Solve 1/2 โ ๐ฆ = 3/4 for ๐ฆ.

01:10

### Video Transcript

Solve one-half minus ๐ฆ equals three-fourths for ๐ฆ.

First things first, copy down the equation. If we wanna isolate ๐ฆ and solve for ๐ฆ, weโll need to move everything else to the other side of the equation by subtracting one-half on the left and one-half on the right. Positive one-half minus one-half cancels out. That equals zero.

The left side now says negative ๐ฆ. And on the right side, we need to subtract one-half from three-fourths. We can rewrite one-half as a fraction with the denominator of four. Two over four is the same thing as one-half. Three-fourths minus two-fourths equals one-fourth. Negative ๐ฆ equals one-fourth.

But weโre looking for positive ๐ฆ. And that means we can multiply both sides by negative one. Negative one times negative ๐ฆ equals positive ๐ฆ. And one-fourth times negative one equals negative one-fourth.

๐ฆ equals negative one-fourth.

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