Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
1 answer:
Answer:
The solution of this system of equations is (3 , -8)
Step-by-step explanation:
The given system is
x + 2y = -13
12x + 5y = -4
We make x the subject of the first equation and put it into the second:
We put this expression for x into the second equation
12(-13-2y)+5y=-4
-156-24y+5y=-4
-24y+5y=-4+156
-19y=152
y=-8
We substitute y=-8 into x=-13-2y to get:
The solution of this system of equations is (3 , -8)
You might be interested in
Part A:
The total area = x² + 12x + 20 = (x+2)(x+10)
<span>The width = x+2
∴ Length = area / width = </span>[ <span>(x+2)(x+10) ] / (x+2) = x+10
Part B: </span>
<span>A 2-foot walkway is built around the fountain
</span>
<span>∴ The width = (x+2) + 2 + 2 = x + 6
The length = (x+10) + 2 + 2 = x +14
Part C:
</span><span>the total area covered by the fountain and walkway. </span><span>
= (x+6)(x+14)
= x² + 20 x + 84
See the attache figure for more explanation
</span>
The total area = x² + 12x + 20 = (x+2)(x+10)
<span>The width = x+2
∴ Length = area / width = </span>[ <span>(x+2)(x+10) ] / (x+2) = x+10
Part B: </span>
<span>A 2-foot walkway is built around the fountain
</span>
<span>∴ The width = (x+2) + 2 + 2 = x + 6
The length = (x+10) + 2 + 2 = x +14
Part C:
</span><span>the total area covered by the fountain and walkway. </span><span>
= (x+6)(x+14)
= x² + 20 x + 84
See the attache figure for more explanation
</span>