Question

solve system of equations algebraically:
35x-17y=560
24x+15y=2250

Answer 1

You mean using substitution? Or is it alright if we use Gaussian elimination?

Answer 2

ah sorry, using substitution.

Answer 3

from the graph it should be 50, 70 but I'm not getting the correct answer when solving.

Answer 4

Write both equations in terms of y first

Answer 5

Then set y = y, cross multiply and solve for x

Answer 6

x=(570+17y)/35

(24(560+17y)/35) +15y=2250 ==> y=70

Insert y=70 in first equation (35x - 17y=560) gives you:

35x-17*70=560 ==> x= 50

Answer 7

Explanation:
1. Solve for x in first equation.
2. Insert x from first equation into second equation.
3. Solver for y
4. Insert y into first equation
5. Solver for x

Answer 8

35x-17y=560
24x+15y=2250

y = (560 - 35x)/-17
y = (2250 - 24x)/15

y = y

15(560 - 35x) = -17(2250 - 24x)
8400 - 525x = -38250 + 408x

46650 = 933x

46650/933 = x
50 = x

Answer 9

That's a full solution