Question

Solve these equations
17-9y=-3+16y
15m+22=-7m+18
3x+7=14+3x
7(h+3)=6(h-3)
-(5a+6)=2(3a+8)
-2(2f-4)=-4(-f+2)

Answer 1

Answer:

1. y = 4/5

2. m = -2/11

3. (unsolvable)

4. h = -39

5. a = -2

6. (unsolvable)

Step-by-step explanation:

Hope it helps!

Answer 2

Step-by-step explanation:

$(1) \: \: 17 - 9y = - 3 + 16y$

$17 - 9y + 3 - 16y = 0$

$- 25y + 20 = 0$

$y = \cancel \frac{20}{25} = \frac{4}{5} = 0.8$

$(2) \: \: \: 15m + 22 = - 7m + 18$

$15m + 22 + 7m - 18 = 0$

$22m + 4 = 0$

$m = \frac{ - 4}{22} =-\dfrac{2}{11}$

$(3)3x + 7 = 14 + 3x$

$3x + 7 - 14 - 3x = 0$

$0 - 7 = - 7$

$(4)7(h + 3) = 6(h - 3)$

$7h + 21 = 6h - 18$

$7h - 6h + 21 + 18 = 0$

$h + 39 = 0$

$h = - 39$

$(5) - (5a + 6) = 2(3a + 8)$

$- 5a - 6 - 6a - 16 = 0$

$- 11a - 22 = 0$

$a = - 2$

$(6) - 2(2f - 4) = - 4( - f + 2)$

$- 4f + 8 = 4f - 8$

$- 4f + 8 - 4f + 8 = 0$

$- 8f + 16 = 0$

$f = \cancel \frac{16}{8} = 2$

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