X+ 2y = 3; x - y = 6
solving systems using elimination

x=5, y= -1

Step-by-step explanation:

Let's solve your system by substitution.

x+2y=3;x−y=6

Step: Solvex+2y=3for x:

x+2y=3

x+2y+−2y=3+−2y(Add -2y to both sides)

x=−2y+3

Step: Substitute−2y+3forxinx−y=6:

x−y=6

−2y+3−y=6

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

−3y+3+−3=6+−3(Add -3 to both sides)

−3y=3

−3y

−3

=

3

−3

(Divide both sides by -3)

y=−1

Step: Substitute−1foryinx=−2y+3:

x=−2y+3

x=(−2)(−1)+3

x=5(Simplify both sides of the equation)

x=5 and y=−1

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x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11