Question

3) y = 6 - x ; y = x + 2 substitute method

Answer 1

Step-by-step explanation:

Let's solve your system by substitution.

y=6−x;y=x+2

Rewrite equations:

y=−x+6;y=x+2

Step: Solvey=−x+6for y:

y=−x+6

Step: Substitute−x+6foryiny=x+2:

y=x+2

−x+6=x+2

−x+6+−x=x+2+−x(Add -x to both sides)

−2x+6=2

−2x+6+−6=2+−6(Add -6 to both sides)

−2x=−4

−2x

−2

=

−4

−2

(Divide both sides by -2)

x=2

Step: Substitute2forxiny=−x+6:

y=−x+6

y=−2+6

y=4(Simplify both sides of the equation)

Answer:

x=2 and y=4

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