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Chapter 7 continued - NOHS Teachers

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<strong>Chapter</strong> 7 <strong>continued</strong><br />

4.<br />

5.<br />

6.<br />

4x y 10 6x 2y 22<br />

7. 4x 7y 2<br />

y 4x 10<br />

2y 6x 22<br />

x y 5<br />

y<br />

(3, 2)<br />

1<br />

1<br />

x<br />

Check: 6x 2y 22<br />

63 22 ? 22<br />

18 4 22<br />

Solution: 3, 2<br />

3x 5y 10<br />

5y 3x 10<br />

y 3 5 x 2<br />

(10, 4)<br />

4<br />

Check: x 2y 18<br />

10 24 ? 18<br />

10 8 18<br />

Solution: 10, 4<br />

2x 3y 12<br />

3y 2x 12<br />

y 2 3 x 4<br />

y 3x 11<br />

y x 5<br />

y x 5<br />

4x 7x 5 2<br />

4x 7x 35 2<br />

11x 33<br />

x 3<br />

4x y 10<br />

8. 7x 4y 5<br />

43 2 ? 10<br />

x 6y 19<br />

12 2 10<br />

x 6y 19<br />

76y 19 4y 5<br />

x 2y 18<br />

42y 133 4y 5<br />

2y x 18<br />

46y 138<br />

y 1 2 x 9<br />

y 3<br />

y<br />

9.<br />

2<br />

x<br />

y<br />

4<br />

(6, 0)<br />

2<br />

x<br />

11.<br />

Solution: 1, 3<br />

3x 6y 24<br />

2x y 1<br />

y 2x 1<br />

y 2x 1<br />

3x 62x 1 24<br />

3x 5y 10<br />

3x 12x 6 24<br />

310 54 ? 10<br />

15x 30<br />

30 20 10<br />

x 2<br />

Solution: 2, 3<br />

x 3y 6<br />

10. 5x y 7<br />

3y x 6<br />

4x 8y 12<br />

y 1 3 x 2<br />

y 5x 7<br />

4x 85x 7 12<br />

4x 40x 56 12<br />

44x 44<br />

x 1<br />

Solution: 1, 2<br />

x 6y 9<br />

Check: 2x 3y 12<br />

26 30 ? 12<br />

x 3y 6<br />

6 30 ? 6<br />

x 4y 11<br />

x 6y 9<br />

12 12<br />

6 6<br />

6y 9 4y 11<br />

Solution: 6, 0<br />

6y a 4y 11<br />

10y 20<br />

y 2<br />

Solution: 3, 2<br />

3 y 5<br />

y 2<br />

y 2<br />

Solution: 3, 2<br />

x 63 19<br />

x 1<br />

22 y 1<br />

y 3<br />

y 3<br />

51 y 7<br />

y 2<br />

y 2<br />

x 62 9<br />

x 3<br />

176 Algebra 1<br />

<strong>Chapter</strong> 7 Worked-out Solution Key<br />

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