<span>To begin, each of the friends have made 4 bags of dough. This gives 12 bags at the outset. After 10 days, all 12 bags are made into (4*12) bags, or 48 bags. After 20 days, the 48 bags are made into (48*4), or the required 192 bags. After 20 days, then, the friends have the needed 192 bags.</span>
Answer:
x = -1.5 y = 4
Step-by-step explanation:
4x + 3y = 6
-4x + 2y = 14 Add both equations together
5y = 20 Divide both sides by 5
y = 4
Plug this into one of the original equations
4x + 3(4) = 6 Multiply
4x + 12 = 6
-12 - 12 Subtract 12 from both sides
4x = -6 Divide both sides by 4
x = -1.5
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The first given equation is:
x - 7y = -20
We can rewrite this equation as follows:
x = 7y - 20 ...........> equation I
The second given equation is:
-3x + 9y = 36 ..........> equation II
Substitute with equation I in equation II to get the value of the y as follows:
-3x + 9y = 36
-3(7y-20) + 9y = 36
-21y + 60 + 9y = 36
-12y = 36-60 = -24
y = (-24) / (-12) = 2
Now use the value of the y and substitute in equation I to get the value of the x as follows:
x = 7y - 20
x = 7(2) - 20 = 14 - 20 = -6
Based on the above calculations:
x = -6
y = 2