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andriy [413]
3 years ago
9

Solve the following system of equations by linear combination: 3x+2y=7 y=x-4

Mathematics
2 answers:
ki77a [65]3 years ago
4 0
Answer : (3,-1) Hoped this helped :)
Hitman42 [59]3 years ago
3 0
\left \{ {{3x+2y=7} \atop {y=x-4}} \right.

Express y from first equation:
2y=7-3x
y=\frac{7-3x}{2}

Then, replace y in second equation with found value and solve it:
\frac{7-3x}{2}=x-4
7-3x=2x-8
5x=15
x=15/5=3

Now, replace x in first equation with found value and solve it too:
3*3+2y=7
9+2y=7
2y=-2
y=-2/2=-1

So the result is: x=3 and y=-1

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