Answer:
The expression that comes after solving the two linear equation is independent of variables So , The system of equations has <u>no solutions </u>
Step-by-step explanation:
Given two linear equations as :
2 y - 4 x = 6 .......1
y - 2 x = 7
Or, y = 2 x + 7 .......2
Now, Solving these two equations
Put the value of y from eq 2 into eq1
So, 2 y - 4 x = 6
∴ 2 × (2 x + 7) - 4 x = 6
Or, 4 x + 14 - 4 x = 6
or, (4 x - 4 x) = 6 - 14
i.e 0 = - 8
∵ The expression that comes after solving the two linear equation is independent of variables So , The system of equations has no solutions Answer
No because
36 / 9 = 4
20 / 4 = 5
So they are multiplied by different amounts so they aren’t equivalent
Answer:
p =
and q = 
Step-by-step explanation:
Given equations:
2p - 3q = 4 -----------(i)
3p + 2q = 9 ------------(ii)
Let's solve this equation simultaneously using the <em>elimination method</em>
(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;
[2p - 3q = 4] x 3
[3p + 2q = 9] x 2
6p - 9q = 12 -------------(iii)
6p + 4q = 18 -------------(iv)
(b) Next, subtract equation (iv) from equation (iii) as follows;
[6p - 9q = 12]
<u> - [6p + 4q = 18] </u>
<u> -13q = -6 </u> -----------------(v)
<u />
<u>(c)</u> Next, make q subject of the formula in equation (v)
q = 
(d) Now substitute the value of q =
into equation (i) as follows;
2p - 3(
) = 4
(e) Now, solve for p in d above
<em>Multiply through by 13;</em>
26p - 18 = 52
<em>Collect like terms</em>
26p = 52 + 18
26p = 70
<em>Divide both sides by 2</em>
13p = 35
p = 
Therefore, p =
and q = 
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