Answer:
(x, y) = (2, 28.8)
Step-by-step explanation:
Your ability to do arithmetic should not be limited to integers. Here we see the coefficients of y are related by a factor of -5, so multiplying the first equation by 5 can make the y-terms cancel when that is added to the second equation.
5(1.3x +0.5y) +(-0.7x -2.5y) = 5(17) +(-73.4)
6.5x +2.5y -0.7x -2.5y = 85 -73.4 . . . . . eliminate parentheses
5.8x = 11.6 . . . . . . collect terms
x = 11.6/5.8 = 2 . . . . . . . divide by the coefficient of x
1.3(2) +0.5y = 17 . . . . . . substitute for x in the first equation
0.5y = 14.4 . . . . . . subtract 2.6
y = 28.8 . . . . . . . . multiply by 2
The solution is (x, y) = (2, 28.8).
Answer:x = 2
y = 28.8
Step-by-step explanation:
The given system of simultaneous equations is expressed as
1.3x + 0.5y = 17 - - - - - - - - - - - - 1
-0.7 - 2.5y = -73.4 - - - - - - - - - - - - - 2
The first step multiply all the terms by 10 in order to eliminate the decimal points. The equations become
13x + 5y = 170 - - - - - - - - - - - - 1
-7 - 25y = -734 - - - - - - - - - - - - - 2
Then we would multiply both rows by numbers which would make the coefficients of x to be equal in both rows.
Multiplying equation 1 by 7 and equation 2 by 13, it becomes
91x + 35y = - 1190
91x + 325y = 9542
Subtracting, it becomes
- 290y = - 8352
y = - 8352/- 290 = 28.8
Substituting y = 28.8 into equation 1, it becomes
13x + 5 × 28.8 = 170
13x + 144 = 170
13x = 170 - 144 = 26
x = 26/13 = 2
