<span> 7x+2y=5;13x+14y=-1 </span>Solution :<span><span> {x,y} = {1,-1}</span>
</span>System of Linear Equations entered :<span><span> [1] 7x + 2y = 5
</span><span> [2] 13x + 14y = -1
</span></span>Graphic Representation of the Equations :<span> 2y + 7x = 5 14y + 13x = -1
</span>Solve by Substitution :
// Solve equation [2] for the variable y
<span> [2] 14y = -13x - 1
[2] y = -13x/14 - 1/14</span>
// Plug this in for variable y in equation [1]
<span><span> [1] 7x + 2•(-13x/14-1/14) = 5
</span><span> [1] 36x/7 = 36/7
</span><span> [1] 36x = 36
</span></span>
// Solve equation [1] for the variable x
<span><span> [1] 36x = 36</span>
<span> [1] x = 1</span> </span>
// By now we know this much :
<span><span> x = 1</span>
<span> y = -13x/14-1/14</span></span>
<span>// Use the x value to solve for y
</span>
<span> y = -(13/14)(1)-1/14 = -1 </span>Solution :<span><span> {x,y} = {1,-1}</span>
<span>
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1. 27 - 3 (because 3 are left over) = 24. Then, 24 ÷ 6 = 4 children.
2. If Mina has £7.20, that means she has 720 pence. If half is given to her brother, then she has £3.60 left. (720 ÷ 2 = 360 pence, which is £3.60)
3. 17 × 10 = 170
2 × 20 = 40
170 + 40 = 210, which is £2.10
The length of the other two sides is 10 and 35 respectively.
<h3>What is a ratio?</h3>
A ratio is a quantitative relation showing the comparison between two or more numbers. It can also be written in the fractional form where the first part is the numerator and the second part is called the denominator.
From the given information:
- The sides of the triangle = 2:7:8
- The total sides of the triangle = 2+7+8 = 17
We are being told that the longest side is the triangle is equal to 40.
i.e.
x = 85
Now for the other two sides 2 and 7, their length is as follows.
Therefore, we can conclude that the length of the other two sides is 10 and 35 respectively.
Learn more about ratios here:
brainly.com/question/2328454
