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Viktor [21]
3 years ago
11

Value of x in the solution to the system of equations. 6x+3y=13 3x-y=4

Mathematics
1 answer:
just olya [345]3 years ago
3 0
The two easiest ways to solve a system of equations (in my opinion) are to add the equations together while getting rid of a variable, or solving for a variable in one equation and plugging it into another. The latter is the method I will use.

3x - y = 4 (solve for y)
3x = 4 + y
3x - 4 = y
y = <span>3x - 4 </span>

Now we can plug y into the other equation:
<span>6x + 3y = 13
</span>6x + 3(<span>3x - 4) = 13
</span>6x + 9<span>x - 12 = 13
</span>15x = 25
x = 25/15
x = 5/3
The answer is x = 5/3

If you ever needed to find y as well, you can plug this into either equation to find y.
3x - y = 4
<span>3(5/3) - y = 4
</span>5 - y = 4
y = 1
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