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n200080 [17]
4 years ago
7

Solve the equation y=-5x+24 y=4x-21

Mathematics
1 answer:
ryzh [129]4 years ago
5 0

Answer:

x=5 y=-1

Step-by-step explanation:

y=-5x+24

y=4x-21

Since both equations are equal to y, we can set them equal to each other

-5x+24=4x-21

Add 5x to each side

-5x+5x+24=4x+5x-21

24 = 9x-21

Add 21 to each side

24+21 = 9x-21+21

45 = 9x

Divide by 9

45/9 = 9x/9

5 =x

Now we need to find y

y = 4x-21

y =4(5) -21

y =20-21

y =-1

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Given sin y = -4/5, where π < y < 3π/2, and cos x = 12/13, where 0 < x < π/2. Find the exact value of sin (x - y).
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