Question

Solve the following system: y = -2x - 3 1 y = -x + 2 2 a) No solution b) Infinite solutions c) (-2,1) d) (2,-1)

Answer 1

C, (-2,1).

Explanation:

y = -2x - 3 ---1

y = 1/2x + 2 ---2

Substitute 1 into 2.

-2x - 3 = 1/2x + 2

Simplify the equation.

5/2x = -5

Multiply 2 to get rid of fraction.

5x = -10

x = -2

Substitute x into either equation to find y. I will substitute x into 1.

y = -2(-2) - 3

= 4 - 3

= 1

x = -2, y = 1

Hence, (-2,1).