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Katyanochek1 [597]
3 years ago
8

Use the substitution methed to solve the system of equations. Choose the correct ordered pair.

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0

Solve both equations for 2<em>y</em> :

2<em>y</em> + 5<em>x</em> = 13   ==>   2<em>y</em> = 13 - 5<em>x</em>

2<em>y</em> + 3<em>x</em> = 5   ==>   2<em>y</em> = 5 - 3<em>x</em>

Solve for <em>x</em> :

13 - 5<em>x</em> = 5 - 3<em>x</em>

8 = 2<em>x</em>

<em>x</em> = 4

Solve for <em>y</em> :

2<em>y</em> = 13 - 5×4

2<em>y</em> = -7

<em>y</em> = -7/2

As an ordered pair, the solution is then the point (<em>x</em>, <em>y</em>) = (4, -7/2).

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