Question

Determine the best method to solve the system of equations. Then solve the system.

y = -2x + 2
y = 4x + -4

Answer 1

Substitution method is the best to solve system of equations with two variables

x = 1

y = 0

Explanation:

-2x + 2 = 4x + (-4)

-2x + 2x + 2 + 4= 4x + 2x - 4 + 4

6 = 6x

x = 1

y = -2(1) + 2

or

y = -4(1) - 4

y = 0

Answer 2

x = 1 and y = 0

Explanation:

y = -2 x + 2 .......... equation number 1

y = 4 x - 4................... equation number 2

substitute equation number 2 in equ. number 1

4 x - 4 = -2 x + 2

4 x + 2 x = 2 +4

6 x = 6

so x = 1

substitute x= 1 in equation number 2

Therefore y =( 4 × 1) - 4

y = 4 - 4 = 0

therefore x = 1 and y = 0