Question

A set of equations is given below: Equation A: y = 2x + 8 Equation B: -4x + 2y = 16 Which of the following options is true about the solution to the given set of equations? a No solution b One solution c Two solutions d Infinite solutions

Answer 1

Step-1: Convert Equation B into slope intercept form.

• -4x + 2y = 16
• => 2y = 4x + 16
• => y = 2x + 8

Step-2: Compare both equations to make a conclusion.

• y = 2x + 8 and y = 2x + 8

Since both equations are the same, we can make a conclusion that both equations have infinite solutions.

Answer 2

d) Infinite solutions

Explanation:

y = 2x + 8

-4x + 2y = 16

-4x + 2(2x + 8) = 16

-4x + 4x + 16 = 16

0x + 16 = 16

16 = 16

These equations have Infinite solutions

Hope this helps!