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sineoko [7]
3 years ago
7

Y=4x-5 as ordered pairs

Mathematics
1 answer:
maria [59]3 years ago
4 0
4x + y = 5 There are of course an infinite number of solutions (pick any real number, substitute it for either variable in the equation, and solve for the other variable). Two that are very easy to find are (a,0) and (0,b); these points are/contain the x and y intercepts (different authors define them differently). Just substitute the point coordinate values for x and y in the equation and solve for the remaining letter variable. Substituting into the given equation: (a,0): 4a + 0 = 5 ==> a = 5/4 and (a,0) = (5/4,0) (0,b): 4(0) + b = 5 ==> b = 5 and (0,b) = (0,5)
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<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> Processing ends successfully</span></span>
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