Solve the system of equations for the variables: 5x+2y=13 x+2y=9
2 answers:
Answer:
x = 1, y = 4
Step-by-step explanation:
5x+2y = 13
x+2y = 9
Subtracting both equations
=> 5x+2y-x-2y = 13-9
=> 4x = 4
=> x = 1
Now, Putting x = 1 in the first equation
=> 5(1)+2y = 13
=> 2y = 13-5
=> 2y = 8
=> y = 4
Answer:
x = 1
y = 4
Step-by-step explanation:
5x + 2y = 13
x + 2y = 9
Add both equations.
6x + 4y = 22
Solve for x.
6x = 22 - 4y
x = 22/6 - 4/6y
Put x as 22/6 - 4/6y in the second equation and solve for y.
22/6 - 4/6y + 2y = 9
-4/6y + 2y = 9 - 22/6
4/3y = 16/3
y = 16/3 × 3/4
y = 48/12
y = 4
Put y as 4 in the first equation and solve for x.
5x + 2(4) = 13
5x + 8 = 13
5x = 13 - 8
5x = 5
x = 5/5
x = 1
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