Question

F10) How many Solutions Does this
System Have?


y=2X
y = -x + 2

Answer 1

only one at x = 2/3 y = 1 1/3

Explanation:

At the same solution point Y = Y so

2x = -x + 2

3x = 2

x = 2/3

Answer 2

See below.

Explanation:

Problem:

Solve y=2x;y=−x+2

Steps:

I will solve your system by substitution.

y=2x;y=−x+2

Step: Solve y=2 x for y:

Step: Substitute 2x for y in y=−x+2:

y=−x+2

2x=−x+2

2x+x=−x+2+x(Add x to both sides)

3x=2

3x/3 = 2/3 (Divide both sides by 3)

x=2/3

Step: Substitute 2/3 for x in y = 2x

y=2x

y = 2(2/3)

y = 4/3 (Simplify both sides of the equation)

Answer:

x = 2/3 and y = 4/3