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3 years ago

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

1 answer:

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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