Question

Use substitution to solve the system of equations. y+x=3, y=1.5+1

Answer 1

`0.5`

Explanation:

Lesson: Substitution of systems of equation

In this question, we have

y + x = 3

and

y = 1.5 + 1

Clearly we are finding x, so we first have to get y alone on both sides.

y = 1.5 + 1 already has y alone. Therefore we focus on y + x = 3

y + x = 3

-x = -x

y = 3 - x

Now we can plug the two systems together because y is alone on both sides.

3 - x = 1.5 + 1

Combine like terms

3 - x = 2.5

Subtract 3 from both sides:

3 - x = 2.5

-3 = -3

-x = -0.5

Divide both sides by negative to get x alone:

`(-x)/(-) = (-0.5)/(-)`

x = 0.5