Question

Is it possible to find a value for c so that the

linear system below has exactly one solution?
Explain.
5x + 3y = 21 Equation 1
y = -x + c Equation 2

Answer 1

Explanation:

Let's solve for c.

y=−x+c

Step 1: Flip the equation.

c−x=y

Step 2: Add x to both sides.

c−x+x=y+x

c=x+y

Answer:

c=x+y