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MODULE 1 : GELYKTYDIGE LINEÊRE VERGELYKINGS ... - AdMaths

MODULE 1 : GELYKTYDIGE LINEÊRE VERGELYKINGS ... - AdMaths

MODULE 1 : GELYKTYDIGE LINEÊRE VERGELYKINGS ... - AdMaths

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3. y = 3x<br />

− 5<br />

y = x + 1<br />

4. y = − x + 2<br />

y = 2x<br />

+ 5<br />

5. y = x + 1<br />

2x + y = − 3<br />

6. 2 x + 3y<br />

= 7<br />

y = x +<br />

VOORBEELD 2<br />

2<br />

2 / 9<br />

Los op vir x en y: x + y = 9<br />

(1)<br />

x − y = 1<br />

(2)<br />

Gebruik een van die twee vergelykings om ‘n “voorlopige antwoord” te skep.<br />

(1): x + y = 9<br />

⇒ x = 9 − y (3)<br />

Substitueer in vergelyking (2):<br />

(2): x − y = 1<br />

( 9 − y)<br />

− y = 1<br />

9 − 2y<br />

= 1<br />

− 2y = − 8<br />

y = 4<br />

Substitueer terug in (3):<br />

(3): x = 9 − y<br />

= 9 − 4<br />

Dus: x =<br />

5 en y = 4<br />

=<br />

5<br />

A1.2

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