
5х-(х+у)+15=3 3х-2(х+у)=3


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To solve the system of equations:
- 5x - (x + y) + 15 = 3
- 3x - 2(x + y) = 3
Let's simplify and find the values of x and y.
Step 1: Simplify the equations.
5x - x - y + 15 = 3 Combine the x terms: 4x - y + 15 = 3
3x - 2x - 2y = 3 Combine the x terms: x - 2y = 3
Step 2: Now, we have a system of two equations:
- 4x - y + 15 = 3
- x - 2y = 3
Step 3: We can use either the substitution or elimination method to solve the system. Let's use the elimination method.
Step 4: Multiply the second equation by 4 to make the coefficients of x in both equations the same:
4(x - 2y) = 4(3) 4x - 8y = 12
Step 5: Now, we have the following system:
- 4x - y + 15 = 3
- 4x - 8y = 12
Step 6: Subtract equation 1 from equation 2 to eliminate the x terms:
(4x - 8y) - (4x - y + 15) = 12 - 3 4x - 8y - 4x + y - 15 = 9 -7y - 15 = 9
Step 7: Solve for y:
-7y = 9 + 15 -7y = 24 y = -24 / -7 y = 24/7 or approximately 3.43
Step 8: Substitute the value of y back into one of the equations to find x. Let's use equation 1:
4x - y + 15 = 3 4x - 3.43 + 15 = 3 4x + 11.57 = 3 4x = 3 - 11.57 4x = -8.57 x = -8.57 / 4 x = -2.14
So, the solution to the system of equations is x = -2.14 and y = 24/7 (or approximately 3.43).


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