Given p=3q which of these will be p if q is increased by 2?
1 answer:
If we increase q by 2, it means that q becomes q+2.
So, p will become
So, the new value for p is 6 more than the previous one.
The second exercise looks a bit odd: if the sequence started with -100, then it would be
-100, -97, -94, -91, -88,...
And every term would be 3 more than the previous one, so the next term would be -85, but this doesn't appear in your option.
Also, the fact that the sequence starts with positive 100 is quite strange, because it is unrelated to the rest of the sequence.
Are you sure that the exercise is written correct? Or are there any typos?
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System 1: The solution is (x, y) = (-4, 5)
System 2: The solution is
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
2x + 3y = 7 ------ eqn 1
-3x - 5y = -13 --------- eqn 2
We can solve by elimination method
Multiply eqn 1 by 3
6x + 9y = 21 ------ eqn 3
Multiply eqn 2 by 2
-6x - 10y = -26 ------- eqn 4
Add eqn 3 and eqn 4
6x + 9y -6x - 10y = 21 - 26
-y = -5
y = 5
Substitute y = 5 in eqn 1
2x + 3(5) = 7
2x + 15 = 7
2x = -8
x = -4
Thus the solution is (x, y) = (-4, 5)
<h3><em><u>Second system of equation is:</u></em></h3>8 - y = 3x ------ eqn 1
2y + 3x = 5 ----- eqn 2
We can solve by susbtitution method
From given,
y = 8 - 3x ----- eqn 3
Substitute eqn 3 in eqn 2
2(8 - 3x) + 3x = 5
16 - 6x + 3x = 5
3x = 16 - 5
3x = 11
Substitute the above value of x in eqn 3
y = 8 - 3x
Thus the solution is