Page 39 - Algebra 1

Subtract the two equations. x – 22 = 0
x = 22
Putx=22in𝑥+2 =1 𝑦−3 3
22+2 = 1 𝑦−3 3
y = 75
4. (x+2)(y–3)=xy–20
xy – 3x + 2y – 6 = xy – 20 –3x + 2y = –14
3x – 2y = 14......................(1) (x – 1) (y + 2) = xy + 12
xy + 2x – y – 2 = xy + 12
2x – y = 14......................(2) Multiply (2) by 2
4x – 2y = 28......................(3) (3) – (1)
x = 14
3x – 2y = 14
3(14) – 2y = 14
2y = 28
y = 14
5. Let the number of makes be x Let the number of females by y
x + y = 42000.............. (1)
1.04x + 1.07y = 44340.............. (2) Multiply (1) by 1.04
1.04x + 1.04y = 43680.............. (3) (3) – (2)
0.03y = 660
y = 22000
x = 20000
The y – x = 22000 – 20000 = 2000
24 × 3 = y – 3
72 + 3 = y
Fraction = 22 75
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ALGEBRA