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Home Q & A Board Science-Related Homework Help Mathematics
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riyaz1203 riyaz1203
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11 years ago
1/4 (z - 4) = -3/4 (z + 2)

I have been stuck on this darn problem for (10) minutes and I really need to move on to my History homework.

Thanks in advance for your help!
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ijenniferrrijenniferrr
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#1
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11 years ago
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#2
11 years ago
multiply both sides by 4
z - 4 = -3 (z+2)

distribute the right side
z - 4 = -3z - 6

add 3z to both sides
4z - 4 = -6

add 4 to both sides
4z = -2

divide by 4
z = -1/2
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#3
11 years ago
.25z-1 = -.75z+-1.5

-1=-z+-1.5

1.5=z
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#4
11 years ago
You could multiply both sides by 4 to cancel the fractions:

4(1/4)(z-4) = z-4; 4(-3/4)(z+2) = -3(z+2) = -3z - 6

So z - 4 = -3z - 6

Add 3z and 4 to both sides to get 4z = -2

Divide both by 4 to get z = -1/2
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#5
11 years ago
1/4 (z - 4) = -3/4 (z + 2)
1/4 z - 1/4 (4) = -3/4 z - 3/4 (2)
1/4 z - 1 = -3/4 z - 3/2
1/4 z + 3/4 z = 1 - 3/2
z = -1/2
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#6
11 years ago
1/4(z-4)= -3/4(z+2)
1(z-4)/4 =-3(z+2)/4
z-4=-3z-6
6-4=-3z-z
2=-4z
2/4=-z
1/2=-z
z= -1/2
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#7
11 years ago
Z = -1
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#8
11 years ago
yay they're right
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