Question

Find the solution to the system of equations.

Answer 1

x = 1

y = 3

Explanation:

-5x + 5y = 10

-x + y = 2

y = 2 + x

21x + 7(2 + x) = 42

28x = 28

x = 1

y = 2 + 1 = 3

Answer 2

x=1, y=3

Explanation:

21x + 7y = 42

Divide this by 7

3x +y = 6

-5x +5y = 10

Divide this by 5

-x+y = 2

Subtract the two equations to eliminate y

3x +y = 6

-(-x+y = 2)

------------------------

3x +y = 6

+x-y = -2

------------------------

4x = 4

Divide by 4

x = 1

Now solve for y

-x+y = 2

-1 +y = 2

Add 1 to each side

y = 2+1

y =3