Answer:
x = —1 and y = —5
Explanation:
10x + 2y = — 20. (1)
10x – 4y = 10. (2)
To solve using elimination method, do the following;
Subtract equation (1) from (2)
10x – 4y = 10. (2)
— 10x + 2y = — 20. (1)
—6y = 30
Next, divide both side by the coefficient of y i.e —6
y = 30/ —6
y = —5
Next, we substitute the value of y into any of the equation to find x. In this case I will be using equation (1)
10x + 2y = — 20.
10x + 2(—5) = — 20.
10x — 10 = —20
Collect like terms
10x = —20 + 10
10x = —10
Divide both side by the coefficient of x i.e 10
x = —10/10
x = —1
Therefore x = —1 and y = —5