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ololo11 [35]
3 years ago
13

3x+4y=17.50 7x+1y=17.00

Mathematics
1 answer:
nikdorinn [45]3 years ago
5 0
7x+1y = 17.00 can be simplified to  y = -7x +17
<span>-7x +17 can then be substituted  for y in 3x+ 4y =17.50
</span>3x+4(y) = 17.50
3x+ 4(-7x +17) = 17.50

From here you can solve for X
<span>3x + 4(-7x +17) = 17.50
</span>3x -28x + 68     =  17.50
  -25x    + 68     =  17.50
              -68           -68
  -25x                =   -50.50
   ÷-25                     ÷-25
      X                 =   2.02

You can then replace x with 2.02 in the original 7x + 1y = 17.00 to solve for y.

7(x)      + 1y = 17.00
7(2.02) +  y  = 17.00
14.14    +  y =  17.00
-14.14              -14.14
                 y =  2.86

Then substitute 2.02 for x and 2.86 for y in the original 3x+ 4y = 17.50 to check.
3(x)      +   4(y)       =   17.50
3(2.02) +   4(2.86)  =   17.50
6.06      +   11.44    =   17.50
           17.50           =    17.50
So
X = 2.02
and
Y = 2.86
or the solution set is (2.02, 2.86)

Hope this helps
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