Solve for linear equations by substitution

x + 2y = 6
X-y=3

Let's solve your system by substitution.

x+2y=6;x−y=3

Step: Solvex+2y=6for x:

x+2y=6

x+2y+−2y=6+−2y(Add -2y to both sides)

x=−2y+6

Step: Substitute−2y+6forxinx−y=3:

x−y=3

−2y+6−y=3

−3y+6=3(Simplify both sides of the equation)

−3y+6+−6=3+−6(Add -6 to both sides)

−3y=−3

−3y

−3

=

−3

−3

(Divide both sides by -3)

y=1

Step: Substitute1foryinx=−2y+6:

x=−2y+6

x=(−2)(1)+6

x=4(Simplify both sides of the equation)

x=4 and y=1

Step-by-step explanation:

x=4 and y=1

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

~just a girl in love with shawn mendes

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq