Solve the following equations:
(a) ![]()
(b) 5t + 28 = 10
(c) ![]()
(d) ![]()
(e) ![]()
(f) ![]()
(g) ![]()
(h) ![]()
(i) ![]()
(j) ![]()
The parts of the given question are solved below:
(a) We have,
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Now,
In order to solve the given equation for y,
We will follow the following steps:
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2y = 16
Now,
Dividing both sides by 2, we get:
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y = 8
(b) We have,
5t + 28 = 10
Now,
In order to solve the given equation for t,
We will follow the following steps:
5t + 28 – 28 = 10 – 28
5t = - 18
Now,
Dividing both sides by 5, we get:
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t = ![]()
(c) We have,
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Now,
In order to solve the given equation for a,
We will follow the following steps:
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Now,
Multiplying both sides by 5, we get:
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Therefore,
a = -5
(d) We have,
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Now,
In order to solve the given equation for q,
We will follow the following steps:
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= -2
Now,
Multiplying both sides by 4, we get:
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q = -8
(e) We have,
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Now,
In order to solve the given equation for x,
We will follow the following steps:
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Now,
Multiplying both sides by
, we get:
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x = -4
(f) We have,
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Now,
In order to solve the given equation for x,
We will follow the following steps:
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Now,
Dividing both sides by
, we get:
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Therefore,
x = ![]()
(g) We have,
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Now,
In order to solve the given equation for m,
We will follow the following steps:
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Now,
Dividing both sides by 7, we get:
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m = ![]()
(h) We have,
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Now,
In order to solve the given equation for z,
We will follow the following steps:
6z + 10 – 10 = -2 – 10
6z = -12
Now,
Dividing both sides by 6, we get:
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Therefore,
z = -2
(i) We have,
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Now,
In order to solve the given equation for t,
We will follow the following steps:
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Now,
Multiplying both sides by
, we get:
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Therefore,t = ![]()
(j)We have,
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Now,
In order to solve the given equation for y,
We will follow the following steps:
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Now,
Multiplying both sides by
, we get:
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b = 12