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Abraham Richards
Mathematics
17 August, 15:10
15x+12y=292.50, 45x+10y=747.50 solve for x and y
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Schmidt
17 August, 15:19
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There are 2 equations given and two unknown things in the form of x and y that needs to be found.
15x + 12y = 292.50
15x = 292.50 - 12 y
x = (292.5 - 12y) / 15
Now we have to replace the value of x that has been deduced into the second equation.
Then
45x + 10y = 747.50
45[ (292.5 - 12y) / 15] + 10y = 747.50
3 (292.5 - 12y) + 10y = 747.5
877.5 - 36y + 10y = 747.5
-26y = - 130
y = 5
Now we will be replacing the value of y in any of the given equations to find the value of x
15x = 12y = 292.5
15x + 12 (5) = 292.5
15x + 60 = 292.5
15x = 292.5 - 60
15x = 232.5
x = 232.5/15
= 15.5
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