Question

2(x-y)=4 3x+y=10 use elimination

Answer 1

(x, y) = (3, 1)

Explanation:

You want to solve this system of equations using elimination.

• 2(x -y) = 4
• 3x +y = 10

Elimination

We want to combine the equations in such a way that one of the variables is eliminated from the combination. We see that the y-variable has opposite signs in the two equations, but has a coefficient of 2 in the first equation. This suggests we can add twice the second equation to the first to eliminate y:

2(x -y) +2(3x +y) = (4) +2(10)

2x -2y +6x +2y = 24 . . . . . . . . eliminate parentheses

8x = 24 . . . . . . . . . . . . . . collec terms

x = 3 . . . . . . . . . . . divide by 8

Now we can solve for y using the second equation

3(3) +y = 10

y = 10 -9 = 1

The solution is (x, y) = (3, 1).

<95141404393>

Answer 2

Answer: x=3 y=1

Step by step solution